Q:

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

Accepted Solution

A:
Answer:The answer to your question is (-5, 3)Step-by-step explanation:Process1.- 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 < 3The solutions crosses in the interval (-5, 3) so this is the solution