#### Answer

Fill the blank with$:$
$-c $
$ c $

#### Work Step by Step

Solving an Absolute VaIue Inequality:
If $ u $ is an algebraic expression and $ c $ is a positive number, then:
1) The solutions of $|u| \lt c $ are the numbers that satisfy $-c \lt u \lt c.$
2) The solutions of $|u|\gt c $ are the numbers that satisfy $ u\lt -c $ or $ u\gt c.$
These rules are valid if $ \lt$ is replaced by $\leq $ and $ \gt \mathrm{i}\mathrm{s}$ replaced by $\geq.$
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This is case 1.
Fill the blank with $:$
$-c $
$ c $