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Chapter 2: Q33. (page 106)

Write an equation involving absolute value for each graph.

Short Answer

Expert verified

The absolute value equation will be x=4.

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 -4 and 4.

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

role="math" localid="1642446693298" Midpoint=−4+42=02=0

03

Step-3. Write the equation.

Since, the midpoint of -4 and 4 is 0, that is, the distance from -4 to 0 is 4 units and the distance from 0 to 4 is also 4units.

So, the absolute value equation will be:

x−0=4x=4

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