Solve for x. Enter your answer in interval notation using grouping symbols x^2+2x<15

The answer to your question is (-5, 3)

Step-by-step explanation:

Process

1. - Factor the inequality

x² + 2x < 15

x² + 2x - 15 < 0

(x + 5) (x - 3) < 0

2. - Find x,

- the inequality must be negative, so x + 5 0

x + 5 0

x 3 the solutions do not crosses

- the inequality must be negative, so x + 5 > 0 and x - 3 < 0

x > - 5 x < 3

The solutions crosses in the interval (-5, 3) so this is the solution