Question

lin is solving the following absolute value inequality and has become stuck.
$2|x+5|-4<4$
$2|x+5|<8$
$|x+5|<4$
show lin the next step and write down an explanation for that step.
$\square < \square$ or $\square < \square$
graphing calculator

Explanation:

Step1: Rewrite absolute value inequality

For $|A| < b$ (where $b>0$), this is equivalent to $-b < A < b$, which splits into two inequalities: $A > -b$ and $A < b$.
Applying this to $|x+5| < 4$ gives:
$-4 < x+5$ or $x+5 < 4$

Answer:

$-4 < x+5$ or $x+5 < 4$