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Chapter 2: Q47. (page 107)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x=1.5.

Step by step solution

01

Step-1. Define absolute value equation.

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

02

Step-2. Find the mid-point of points -1.5 and 1.5.

To find the point midway between two points -1.5 and 1.5, add the two values and divide by 2.

Midpoint=−1.5+1.52=02=0

03

Step-3. Write the equation.

Since, the midpoint of -1.5 and 1.5 is 0, that is, the distance from -1.5 to 0 is 1.5 units and the distance from 0 to 1.5 is also 1.5 units.

So, the absolute value equation will be:

x−0=1.5x=1.5

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