Answer
$(-∞,-4)U(-1,∞)$
Work Step by Step
We are given that $|2x+5|\gt3$. Therefore, $2x+5\gt3$ or $2x+5\lt-3$. We can solve each equation to find solutions for x.
For $2x+5\gt3$, subtract 5 from both sides.
$2x\gt-2$
Divide both sides by 2.
$x\gt-1$
For $2x+5\lt-3$, subtract 5 from both sides.
$2x\lt-8$
Divide both sides by 2.
$x\lt-4$
