Chapter 1 - 1.7 - Linear Inequalities in One Variable - 1.7 Exercises - Page 138: 86

$|w-182.75|\lt2.75$

$|u|\lt a~↔~-a\lt u\lt a$ $|u|\leq a~↔~-a\leq u\leq a$ $|u|\gt a~↔~u\lt-a~or~u\gt a$ $|u|\geq a~↔~u\leq-a~or~u\geq a$ $180\lt w\lt185.5$ $180-182.75\lt w-182.75\lt185.5$ $-2.75\lt w-182.75\lt2.75$ $|w-182.75|\lt2.75$ Notice that: $182.75=\frac{180+185.5}{2}$