106k views
2 votes
Solve for x. Enter your answer in interval notation using grouping symbols x^2+2x<15

User Gmanjon
by
5.5k points

1 Answer

6 votes

Answer:

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

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

User Lccarrasco
by
5.4k points