Respuesta :

Answer:

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 and x - 3 > 0

                              x + 5 < 0               x - 3 > 0

                              x < -5                    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

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