Answer
The solution is $(-4,-1)$
Work Step by Step
$|2x+5|\lt3$
Solving this absolute value inequality is equivalent to solving the following inequality:
$-3\lt2x+5\lt3$
$\textbf{Solve the inequality shown above:}$
$-3\lt2x+5\lt3$
Subtract $5$ from all three parts of the inequality:
$-3-5\lt2x+5-5\lt3-5$
$-8\lt2x\lt-2$
Divide all three parts of the inequality by $2$:
$-\dfrac{8}{2}\lt\dfrac{2x}{2}\lt-\dfrac{2}{2}$
$-4\lt x\lt-1$
Expressing the solution in interval notation:
$(-4,-1)$
