Question

A furniture maker uses the specification for the width w in inches of a desk drawer.

Write the specification as an absolute value inequality.
(number one is pt of the question)

Answer 1

1. Find the mean of the extremes:

\[\frac{21.88 + 22.12}{2} = 22\]


Subtract 22 from each side of the inequality:
\[21.88 - 22 \le x - 22 \le 22.12 - 22\]
\[-0.12 \le x - 22 \le 0.12\]

Rewrite as absolute value inequality:
\[|x - 22| \le 0.12\]

Answer 2

@cmenendez55