## Intermediate Algebra (6th Edition)

$(-∞,-4)U(-1,∞)$
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. $x\lt-4$