Answer
$(-∞,∞)$
Work Step by Step
We are given that $|2x+9|+5\gt3$
Subtract 5 from both sides.
$|2x+9|\gt-2$
Since the absolute value of any number is always nonnegative, we know that any value of x will satisfy the inequality. Therefore, the solution set is $(-∞,∞)$.
