Answer
(-$\infty$,-3) $\cup$ (1,$\infty$)
Work Step by Step
$x^{2}$ +2x $\gt$ 3
$x^{2}$ +2x -3 $\gt$ 0
(x+3)(x-1) $\gt$ 0
Factors are zero when x=-3 or x=1,endpoints don't satisfy the inequality, plug values from intervals to decide which of them satisfy the inequality.
