Chapter 3.7, Problem 66PPE

To determine

To write: Absolute value equation using 2 given solutions

Answer to Problem 66PPE

  $|x-4|=2$

Explanation of Solution

Given information: We are given with 2 solutions 2 and 6.

Calculate:

To get the absolute value equation using 2 solutions we use format

  $|x-midpo\mathrm{int}|$ =distance from endpoint to midpoint

To find midpoint we add the solutions and divide by 2

  $\frac{2+6}{2}=4$

The distance from endpoint 2 and midpoint 4 is 2

So the absolute value equation becomes

  $|x-midpo\mathrm{int}|$ =distance from endpoint to midpoint

  $|x-4|=2$