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Chapter 2: Q11. (page 105)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x−1=3.

Step by step solution

01

Step-1. Define absolute value equation.

For any real numbers a and b, if a=b and b≥0, thena=b or a=−b.

02

Step-2. Find the mid-point of points -2 and 4.

To find the point midway between two points -2 and 4, add the two values and divide by 2.

Midpoint=−2+42=22=1

03

Step-3. Write the equation.

Since, the midpoint of -2 and 4 is 1, that is, the distance from -2 to 1 is 3 units and the distance from 1 to 4 is also 3 units.

So, the absolute value equation will be:x−1=3.

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