Solve |x+5| < 2: Absolute Value Inequality Analysis

To solve the inequality $|x+5| < 2$, apply the property of absolute values which states that $|a| < b$ translates to $-b < a < b$.

Therefore, $-2 < x+5 < 2$.

Subtract 5 from all parts of the inequality to isolate $x$:

$-2 - 5 < x+5 - 5 < 2 - 5$

This simplifies to $-7 < x < -3$.