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Chapter 2: Q34. (page 106)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x=6.

Step by step solution

01

Step-1. Define absolute value equation.

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

02

Step-2. Find the mid-point of points -6 and 6.

To find the point midway between two points -6 and 6, add the two values and divide by 2.

Midpoint=−6+62=02=0

03

Step-3. Write the equation.

Since, the midpoint of -6 and 6 is 0, that is, the distance from -6 to 0 is 6 units and the distance from 0 to 6 is also 6 units.

So, the absolute value equation will be:

x−0=6x=6

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