QUESTION IMAGE
Question
lin is solving an absolute value inequality and has become stuck.
$2|x + 5| - 4 < 4$
$2|x + 5| < 8$
$|x + 5| < 4$
solve lins problem.
if there is no solution, input the number \0\ for both blanks.
$\square < x < \square$
Step1: Rewrite absolute value inequality
For $|x+5| < 4$, this translates to a compound inequality:
$-4 < x+5 < 4$
Step2: Subtract 5 from all parts
Subtract 5 to isolate $x$:
$-4 - 5 < x+5 - 5 < 4 - 5$
$-9 < x < -1$
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$-9 < x < -1$