Question

Write an absolute value inequality that represents the situation. The area, A, in square inches of a square photo is required to satisfy 8.5 < A < 8.9.

Answer 1

Answer:

$|A - 8.7| < 0.4$

Step-by-step explanation:

Given

$8.5 < A < 8.9$

Required

Write as an absolute value inequality

The absolute value inequality can be derived using

$|A - Mid| < Length$

First Step: Get the middle of the interval

$Mid = \frac{1}{2}(8.5 + 8.9)$

$Mid = \frac{1}{2}(17.4)$

$Mid = 8.7$

Next: Get the Length of the interval

$Length = 8.9 - 8.5$

$Length = 0.4$

Substitute values for Mid and Length in  $|A - Mid| < Length$

$|A - 8.7| < 0.4$

Hence:

The absolute inequality is $|A - 8.7| < 0.4$