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Chapter 2: Q48. (page 107)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x鈭�0.5=3.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, if a=band b鈮�0, then a=bor a=鈭�b.

02

Step-2. Find the mid-point of points -2.5 and 3.5.

To find the point midway between two points -2.5 and 3.5, add the two values and divide by 2.

Midpoint=鈭�2.5+3.52=12=0.5

03

Step-3. Write the equation.

Since, the midpoint of -2.5 and 3.5 is 3, that is, the distance from -2.5 to 0.5 is 3 units and the distance from 0.5 to 3.5 is also 3 units.

So, the absolute value equation will be: x鈭�0.5=3.

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