How to Solve Tough Absolute Value Equations. In our previous encounter of solving absolute value equations, we dealt with the easy case because the problems involved can be solved in a very straightforward manner.. In tough absolute value equations, I hope you notice that there are two absolute value expressions with different arguments on one side of the equation and a constant on the other side.A coordinate plane. The x- and y-axes both scale by one. The graph of f is V-shaped with a minimum at zero, zero. On the left side of the minimum is a ray with a slope of negative one, and on the right side is a ray with a slope of one.2.2: Absolute Value. Every real number can be represented by a point on the real number line. The distance from a number (point) on the real line to the origin (zero) is what we called the magnitude (weight) of that number in Chapter 1. Mathematically, this is called the absolute value of the number. So, for example, the distance from the point ...Steven. Absolute value basically measures how far the number is from zero. If you think about a number line, -5 is the same distance away from 0 as 5 is. Putting an absolute value on something isn't really saying that they are the same number, but it's saying that they are the same distance away from 0.You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: The absolute value of the sum of 4 times a number and 7 is the sum of 2 times a number and 3. Write and solve an absolute value equation to represent the situation. The absolute value of the sum of 4 times a number and 7 is the sum of 2 ...Step 1. We have. % change in price = 6% increase. View the full answer Answer. Unlock. Previous question Next question. Transcribed image text: A6% increase in price results in a 4% decrease in quantity demanded. The absolute value of price elasticity of demand is (Enter your response rounded to one decimal place.)Jun 11, 2020 · Absolute Value: An absolute value is a business valuation method that uses discounted cash flow (DCF) analysis to determine a company's financial worth. He calculated the absolute value of z, |z|, where you square the real parts of z, and then add them and take the square root. So, if z = a + bi. then the real parts are a and b. In this case z = √ (3)/2 + i. Then a = √ (3)/2. and b = 1, because the real part of i is 1, just as the real part of 2i is 2. The absolute value of z is:Algebra basics. Foundations. Absolute value and number lines. Google Classroom. About. Transcript. One easy way to think of absolute value is the distance it is from zero. To do that, …Absolute. Menu Path : Operator > Math > Arithmetic > Absolute The Absolute Operator calculates the absolute value of the input. For example, an input value of (4 ,0, -4) outputs (4, 0, 4). This Operator accepts input values of various types. For the list of types this Operator can use, see Available Types.. Operator properties- [Instructor] This right over here is the graph of y is equal to absolute value of x which you might be familiar with. If you take x is equal to negative two, the absolute value of that is going to be two. Negative one, absolute value is one. Zero, absolute value is zero. One, absolute value is one. So on and so forth. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. For instance, the absolute value of -4 is 4. We use the abs() method of the java.lang.Math package. It takes only one argument of type int, double, float, or long and returns its non-negative (absolute) value. The following are some rules of thumb that you must remember to be an expert while finding an absolute value of a given number.The absolute value of a real number is the distance of the number from 0 0 on a number line. The absolute value of x x is written as \left|x\right|. ∣x∣. For example, \left|5\right| …Simplify absolute value expressions using algebraic rules step-by-step. absolute-value-calculator. en. Related Symbolab blog posts. Middle School Math Solutions - Inequalities Calculator.Click here to see ALL problems on absolute-value. Question 394646: Find the absolute value [11/4] Answer by edjones (8007) ( Show Source ): You can put this solution on YOUR website! 11/4.More Examples. Here are some more examples of how to handle absolute values: |−3×6| = 18. Because −3 × 6 = −18, and |−18| = 18. −|5−2| = −3. Because 5−2 = 3 and then the …The derivative of absolute value (function) is defined as the rate of change or the slope of a function at a specific point. The absolute value function is defined as: { x if x ≥ 0 − x if x < 0. Given its piecewise definition, the derivative of the absolute value function can also be found piecewise. However, there's a catch. The absolute value of 9 is 9. (9 is 9 places from 0.) The absolute value of -4 is 4. (-4 is 4 places from 0.) The absolute value of 0 is 0. (0 is 0 places from 0.) We work with the understanding that 9 and 4 don't tell which side of zero 9 and -4 are on. The absolute value simply tells how far these numbers are from 0. When solving absolute value equations, there are two cases to consider: Case 1: The expression inside the absolute value bars is positive. Case 2: The expression inside the absolute value bars is negative. Example 1. Take the expression | 4 x + 2 | = 18 as an example. For this to be true, either.1 is the difference between the absolute value of 4 and the absolute value of negative 3.. Here, we have, given that, the difference between the absolute value of 4 and the absolute value of negative 3.. so, we get, Equation= |4| - |-3|=?. now, we know, absolute value of 4 is 4.. i.e. |4| =4Indefinite Integral of Absolute Value of x? Is there a closed form solution? Ask Question Asked 8 years, 6 months ago. Modified 2 years, 9 months ago. Viewed 50k times 12 $\begingroup$ Been searching the net for awhile and everything just comes back about doing the definite integral. ... rev 2024.4.18.7903 ...The absolute value function is 1/4 or 0.25 after using the concept of the absolute value function. What is the number? A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers. It is given that:Because the number 4 was simply sitting in front of the absolute value, it implies multiplication, and 4 times 5 is 20. Solving equations with absolute values example Lesson SummaryWhat is the absolute value of -4. A -4 B - 1/4 C 1/4 D 4. Hi Shane, The absolute value of a number is one of two things. If the number is not negative then the absolute value of the number is itself. Thus the absolute value of 6 is 6, the absolute value of 1/3 is 1/3 and the absolute value of 0 is 0.Finding the Absolute Value of a Complex Number. The first step toward working with a complex number in polar form is to find the absolute value. The absolute value of a complex number is the same as its magnitude, or [latex]|z|[/latex].It measures the distance from the origin to a point in the plane.How to Solve Tough Absolute Value Equations. In our previous encounter of solving absolute value equations, we dealt with the easy case because the problems involved can be solved in a very straightforward manner.. In tough absolute value equations, I hope you notice that there are two absolute value expressions with different arguments on one side of the equation and a constant on the other side.Simplify the expression. three tenths squared minus 17 plus the quantity negative 7 divided by the absolute value of 4.3 minus 7.8 end quantity times 2.67 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.For example, $ 2$ and $ -2$ are opposites. Remember that numbers with a larger absolute value can actually be smaller when the numbers are negative - for example, $ -6<-5$, and, in the case of fractions, $ \displaystyle -\frac {3} {4}<-\frac {1} {2}$. So if we're comparing negative numbers, it's actually backwards compared to what we're ...Algebra Properties of Real Numbers Additive Inverses and Absolute Values. 2 Answers Wataru Nov 11, 2014 Remember that the absolute value sign is a negative sign eraser, so we have: #{(|-10|=10),(|10|=10):}# I hope that this was helpful. Answer link. Firelight Nov 11 ...4-bit absolute-value detector (AVD), as one of the basic implementations of bit arithmetic with logic circuits, can help grab a better understanding about digital integrated circuits. Conventional 4-bit AVDs scheme in a multi-comparator and multiplexers, or need to consider multiple situations of overflow and carry-in, both of which could make ...In the complex numbers, there is a notion of absolute value, usually called the norm of the complex number. In that setting, the answer becomes more complicated. Share. Cite. Follow edited Feb 13, 2013 at 8:32. answered Feb 13, 2013 at 8:06. André Nicolas André Nicolas. 507k 47 47 gold ...Summary. Finding the domain of absolute value functions involves remembering three different forms. First, if the absolute function has no denominator or even root, consider whether the domain of absolute value function might be all real numbers.; Second, if there is a denominator within the absolute function's equation, exclude values in the domain that force the denominator to be zero.As seen in the photo, 1m (1 meter) distance away from the first house has a considerable value. At the same time, 1mm (1 millimeter) distance is too small of a value that can be considered negligible.Absolute Value is the distance a number is from zero. In algebra we study many topics about absolute value to include the definition of absolute value, absol...The Extreme value theorem states that if a function is continuous on a closed interval [a,b], then the function must have a maximum and a minimum on the interval. This makes sense: when a function is continuous you can draw its graph without lifting the pencil, so you must hit a high point and a low point on that interval. Created by Sal Khan.The absolute value of the complex number -4- sqrt 2i is sqrt 18. Explanation: The absolute value of a complex number is the distance between the number and the origin on the complex plane. To find the absolute value of the complex number -4- sqrt 2i, we need to find the magnitude of the number.This page titled 1.2: Solving Absolute Value Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.23. Keep in mind that absolute value is distance from zero. So you can use the distance formula to find the absolute value: x2 +y2 +z2− −−−−−−−−−√ x 2 + y 2 + z 2. It wouldn't happen to be coincidence that this also equals the sqrt of a dot producted with itself would it? The absolute value of 4 is 4. The formal definition of the absolute value of a number x, denoted | x |, is the distance... See full answer below. Absolute Value: An absolute value is a business valuation method that uses discounted cash flow (DCF) analysis to determine a company's financial worth.1 Answer. The absolute value of 4 +7i is √65. The absolute value of a complex number in the form a +bi is found using this process: √a2 + b2. So, given z = |4 +7i|, The absolute value of 4 + 7i is sqrt65. The absolute value of a complex number in the form a + bi is found using this process: sqrt (a^2 + b^2). So, given z = |4 + 7i|, |z ...5 abs(4 + 3i) = sqrt(4^2 + 3^2 )= sqrt( (4 + 3 i) *(4 - 3i)) = 5. Precalculus . Science Anatomy & Physiology ... How do you find the absolute value of #4+3i#? Precalculus Complex Numbers in Trigonometric Form Complex Number Plane. 1 …Click here 👆 to get an answer to your question ️ The absolute value of 4+7i is equal to the square root of Gauthmath has upgraded to Gauth now! 🚀 Calculator Download Gauth PLUS Solution. First, set the expression inside the absolute value bars equal to zero and solve for x. Note that x − 2 = 0 at x = 2. This is the “critical value” for this expression. Draw a real line and mark this critical value of x on the line. Place the expression x − 2 below the line at its left end. Solving Absolute Value Inequalities. As we know, the absolute value of a quantity is a positive number or zero. From the origin, a point located at \((−x,\, 0)\) has an absolute value of \(x,\) as it is \(x\) units away. Consider absolute value as the distance from one point to another point.The absolute value of a number corresponds to its magnitude, without considering its sign, if it has it. Geometrically, it corresponds to the distance of a point x x to the origin 0 0, on the real line. Mathematically the absolute value of a number x x is represented as |x| ∣x∣ . Due to the geometric nature of its interpretation, the ...Example 4: Solve the absolute value equation [latex]\left| { - 2x + 7} \right| = 25[/latex] . You may think that this problem is complex because of the [latex]-2[/latex] next to the variable [latex]x[/latex]. However, that shouldn't intimidate you because the key idea remains the same. We have the absolute value symbol isolated on one ...Example 4.4.5. Solve for y y: |y + 2| ≤ 5 | y + 2 | ≤ 5. Solution. If we are to use distance to find a solution, our inequality must be converted to the absolute value of a difference. We will use the following property of arithmetic to convert to a difference: A + B = A − (−B) A + B = A − ( − B) Therefore:How do you find 48 to 14 decrease percent? % decrease = the absolute value of the difference of the original value and the new value divided by the original value multiplied by 100%% decrease:= |48 - 14|/48 x 100%= 34/48 x …absolute value, Measure of the magnitude of a real number, complex number, or vector. Geometrically, the absolute value represents (absolute) displacement from the origin (or zero) and is therefore always nonnegative. If a real number a is positive or zero, its absolute value is itself. The absolute value of − a is a.For example, the absolute value of 4 is 4 : − 5 − 4 − 3 − 2 − 1 0 1 2 3 4 5 4. This seems kind of obvious. Of course the distance from 0 to 4 is 4 . Where absolute value gets …The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign. Absolute Value Function. The absolute value function can be defined as a piecewise function.a) Using the midpoint formula, calculate the absolute value of the price elasticity of demand between e and f. is coincident with the horizontal axis. lies above the midpoint of the curve. lies below the midpoint of the curve. D) is coincident with the vertical axis.To simplify the given expression, first square three tenths, then calculate the absolute value and divide. Finally, add the results to get-11.57. Explanation: To simplify the expression, we need to follow the order of operations (PEMDAS/BODMAS). Let's break down the expression step by step: Square three tenths: (3/10)2 = 9/100.Absolute Operator @ Besides the ABS() function, you can use the absolute operator @: @ expression. In this syntax, the @ operator returns the absolute value of the expression. Examples. The following example shows how to use the ABS() function to calculate the absolute value of a number: SELECT ABS (-10.25) result; Code language: CSS (css) The ...3. I would guess it is your first option. A usual terminology in calculus is about absolute and relative (or local) maxima and minima. The absolute maximum would be then max{f(x): x ∈ [−2, 4]} max { f ( x): x ∈ [ − 2, 4] }. The phrase "absolute maximum value " probably has to do with the fact that when looking at extrema of functions ...Examples, videos, and solutions to help Grade 6 students understand the absolute value of a number as its distance from zero on the number line. Students use absolute value to find the magnitude of a positive or negative quantity in a real-world situation. New York State Common Core Math Grade 6, Module 3, Lesson 11. Opening Exercises.Abstract. 4-bits Absolute Value Detector circuit is a very commonly used circuit design. As to simplify the internal circuit design to make the total number of stage lesser which provides a less ...In other words it is the magnitude or size of a number, no negatives allowed. The symbol "|" is placed either side to mean "Absolute Value", so we write: |−6| = 6. Try it yourself: Absolute Value. Illustrated definition of Absolute Value: How far a number is from zero. Examples: 6 is 6 away from zero, so the absolute value of 6 is 6 minus6...The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign. Absolute Value Function. The absolute value function can be defined as a piecewise function.Enter the number in question including any negative or positive notations. The calculator returns the absolute value. For example, if -3 is entered the calculator returns the absolute value of 3. The numeric value of 0 has neither a positive or negative connotations meaning the absolute value of 0 is 0. All other numeric values have an absolute ...51 The absolute value of a number represents the distance from the graph of the number to zero on a number line. 52 A definition that changes depending on the value of the variable. This page titled 1.1: Review of Real Numbers and Absolute Value is shared under a CC BY-NC-SA 3.0 license and was authored, ...6.NS.C.7.d. In this sixth-grade lesson plan, teachers will help students understand what absolute value is and how to find it with and without a number line. Students will also learn how to compare the absolute values of two numbers, and apply their understanding of absolute value within real-world contexts, such as temperature, elevation, and ...Scaling & reflecting absolute value functions: equation. Google Classroom. About. Transcript. The graph of y=k|x| is the graph of y=|x| scaled by a factor of |k|. If k<0, it's also reflected (or "flipped") across the x-axis. In this worked example, we find the equation of an absolute value function from a description of the transformation ...Interpreting absolute value. In this weight change scenario, three individuals track their monthly progress. Jenna experiences a 3-pound weight loss, while Sarah gains 2.5 pounds and Bill gains 4 pounds. By plotting these changes on a number line, we can determine that Jenna lost the most weight, Bill had the largest change, and Sarah had the ...Recall that in its basic form f (x) = |x|, f ( x) = | x |, the absolute value function is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign.Answer by MathDazed (34) ( Show Source ): You can put this solution on YOUR website! The absolute value of any number whether positive or negative....is it's positive value. For example the absolute value of (-3) or written |-3| is 3 and the absolute value of |6| is 6. To your question the absolute value of -4/9 is 4/9.The larger the absolute value of the z-score, the further away an individual value lies from the mean. The following example shows how to calculate and interpret z-scores. Example: Calculate and Interpret Z-Scores. Suppose the scores for a certain exam are normally distributed with a mean of 80 and a standard deviation of 4.We call the quantity inside the absolute value the argument of the absolute value. When solving equations and inequalities involving absolute value, there are two cases to consider: when the argument of the absolute value is positive, and when it is negative. For any \(a \geq 0\),Less positive (move closer to zero). In the $120 to $160 price range in Figure 5.1, the absolute value of the price elasticity of demand is closest to: 2.33. If the price is reduced from $100 to $80 in Figure 5.1, ceteris paribus: Total revenue will decrease. Ashely has a budgeted $40 per month for candy bars.Correct answer: f (x) = x 4 + (1 - x) 2. Explanation: When we take the absolute value of a function, any negative values get changed into positive values. Essentially, | f ( x )| will take all of the negative values of f ( x) and reflect them across the x -axis. However, any values of f ( x) that are positive or equal to zero will not be ...Absolute-value equations can be fairly simple when they contain only one absolute-value expression, and if that expression is linear. But these equations can have many more than just one expression in absolute-value bars, and the bars may contain expressions more complicated than mere straight lines. We'll start with a quadratic expression as ...For example, the absolute value of 4, written as |4|, is 4 because it is 4 units away from 0 on a number line. The absolute value of -3, written as |-3| is 3 because it is 3 units …We could say that the absolute value of a number is its purely arithmetical value. Here is the algebraic definition of | x |: If x ≥ 0, then | x | = x; if x < 0, then | x | = − x. That is, if x is non-negative: |3|, then the absolute value is the number itself. If x is negative: |−3|, then the absolute value is its negative; that makes ...Here's how to use absolute cell reference s in Google Sheets: Click on the cell where we wish to input the formula. Type in the Equal to (=) symbol. Enter the cell address for the cell containing the number of units. Now we add a the function you wan t to use in the formula.Give a new lease of life to your practice with our free absolute value inequalities worksheets. Clear the absolute-value bars by splitting the inequality into two pieces. Instruct grade 8 students to find the boundary points by solving each basic, one-step, and two-step absolute value inequality in this batch of printable worksheets.Textbook Question. When 3 times a number is subtracted from 4, the absolute value of the difference is at least 5. Use interval notation to express the set of all numbers that satisfy this condition. Verified Solution. This video solution was recommended by our tutors as helpful for the problem above. 5m.Output:-. Enter a number: -52.8. Absolute value = 52.800000. Enter a number: 5. Absolute value = 5.000000. In this C program, we use the if block statement. If the number is negative then convert the number into a positive number otherwise it will remain as it is. To convert the number from negative to positive the minus operator (-) can be used.The absolute value of 4-7i to the square root of. verified. Verified answer. 4. The distance between a + 7i and -8 + 4i is Square root of 130 units The positive value of a is . star. 4.8/5. heart. 24. verified. Verified answer. Jonathan and his sister Jennifer have a combined age of 48.Jun 17, 2021 · The absolute value of a number a a, denoted |a| | a |, is the distance from a to 0 on the number line. Absolute value answers the question of "how far," and not "which way." The phrase "how far" implies "length" and length is always a nonnegative quantity. Thus, the absolute value of a number is a nonnegative number. Sample Set A. absolute value, Measure of the magnitude of a real number, complex number, or vector. Geometrically, the absolute value represents (absolute) displacement from the origin (or zero) and is therefore always nonnegative. If a real number a is positive or zero, its absolute value is itself. The absolute value of − a is a.So if we want to sort it from least to greatest, well, we just have to start at the left end of the number line. The smallest of them, or the least of them, is -28. Then we go to -17. -17. Then we go to 22.4. Then we go to 22.4. And then we go to the absolute …Taking the absolute value of a positive does not change the outcome. First Case: x + 2 = 9. The second case is that x+2 is negative. To get the absolute value of a negative, you have to negate it (which makes it positive again). Therefore |x+2| = - (x+2). Second Case: - (x + 2) = 9. Here we can solve both cases for x.Attempting to isolate the absolute value term is complicated by the fact that there are \textbf{two} terms with absolute values. In this case, it easier to proceed using cases by re-writing the function \(g\) with two separate applications of Definition 2.4 to remove each instance of the absolute values, one at a time. In the first round we getAbsolute Value. The absolute value (or modulus) of a real number is the corresponding nonnegative value that disregards the sign. For a real value, a, the absolute value is: a, if a is greater than or equal to zero. -a, if a is less than zero. abs(-0) returns 0.An eosinophil count uses a standard blood draw. As with any blood test, there are minimal risks of experiencing minor bruising at the needle site. In rare cases, the vein may become swollen after ...Absolute Value Equation Solver Shows Work, Steps for | AX +C | = D. Worksheet on Abs Val Equations. Abs Val Lesson. Absolute Value Equations Solver. Enter any values and this solver will calculate the solution(s) for your equation and show all work, including checking for extraneous solutions!Absolute Value I am having an issue with finding the max value of positive and negative values. I want it to always pick the highest integer but to have it's sign remain the same. For instance, x=10, y=15, z=-20 are my numbers calculated that . t:=550*[max(x,y,z)] -p is depended on. if I do r:= max(x,y,z) it will state that r=15 when I need it ...In this paper, a design and optimization of a 4-bit absolute value detector is realized. by using the CMOS technique, transmission gates, and the tradit ional comparator, which can. compare the ...
The absolute value of a number is the actual distance of the integer from zero, in a number line. Therefore, the absolute value is always a positive value and not a negative number. We will use the following approaches to find the absolute value of a number: Using If Statement;. Oanda conversion
So it's negative 2 times the absolute value of x plus 10 is equal to, well the whole point of this, of the 6 times the absolute value of x plus 10 minus 6 times the absolute value of x plus 10 is to make those cancel out, and then you have 10 minus 4, which is equal to 6. Now, we want to solve for the absolute value of x plus 10.The absolute value of a number a, denoted |a|, is the positive distance between the number and zero on the number line. It is the value of the corresponding "unsigned" number -- that is, the number with the sign removed. Boundary Point A value of the variable that makes the equation true when an equal sign is substituted for an inequality sign ...And just as a reminder, absolute value literally means-- whether we're talking about a complex number or a real number, it literally just means distance away from 0. So the absolute value of 3 minus 4i is going to be the distance between 0, between the origin on the complex plane, and that point, and the point 3 minus 4i. We would like to show you a description here but the site won’t allow us. To find the absolute value of 4 - 7i, we need to calculate the magnitude of this complex number. The magnitude can be found using the formula √(a² + b²), where 'a' is the real part and 'b' is the imaginary part. For the complex number 4 - 7i, 'a' = 4 and 'b' = -7. Substituting these values into the formula, we have:4-bit absolute-value detector (AVD), as one of the basic implementations of bit arithmetic with logic circuits, can help grab a better understanding about digital integrated circuits. Conventional 4-bit AVDs scheme in a multi-comparator and multiplexers, or need to consider multiple situations of overflow and carry-in, both of which could make ...The absolute value of a number is its distance from zero on a number line, regardless of the direction. So, the absolute value of -1/4, represented as |-1/4|, is simply 1/4. This is because if we were to place -1/4 on a number line, regardless of its negative status, it would still be 1/4 units away from zero, hence its absolute value is 1/4.23. Keep in mind that absolute value is distance from zero. So you can use the distance formula to find the absolute value: x2 +y2 +z2− −−−−−−−−−√ x 2 + y 2 + z 2. It wouldn't happen to be coincidence that this also equals the sqrt of a dot producted with itself would it?The absolute value of -8 is 8, as it ignores the negative sign and gives the distance from zero. Similarly, the absolute value of -15 is 15. Now, add these values together: 8 + 15 = 23. How To Use The Calculator? Select what you want to calculate the absolute value for (Either Number or Equation) Enter the value in the designated fieldThe value of x is ± (1/9). Step-by-step explanation: Consider the provided statement. If 3 is added to the absolute value of the product of a number and −9, Now convert this into mathematical form. Let the number is x then the product of number and -9 is -9x. For absolute value we use the mode. Thus the required expression is: 3 + |-9x|So, mathematically, we take the absolute value of the result. For example, -0.45 would interpreted as 0.45. This means that, along the demand curve between points B and A, if the price changes by 1%, the quantity demanded will change by 0.45%. A change in the price will result in a smaller percentage change in the quantity demanded.If you take the absolute value of negative 3 and 1/4, you'll get positive 3 and 1/4, which won't work. 3 and 1/4 is greater than 2 and 1/2, so that's true, that works out. And same thing for 3. 2 times 3 is 6, minus 3 and 1/4 is 2 and 3/4. Take the absolute value, it's 2 and 3/4, still bigger than 2 and 1/2, so it won't work.Jul 24, 2023 · This page titled 1.2: Solving Absolute Value Equations is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. .