Solve the inequality.
-$$x ^ { 2 } + 8 x + 15 0$$
A) $( - \infty , - 5 )$
B) $( - 5 , - 3 )$
C) $( - \infty , - 5 )$ or $( - 3 , \infty )$
D) $( - 3 , \infty )$

Question

Solve the inequality.
-$$x ^ { 2 } + 8 x + 15 > 0$$
A) $( - \infty , - 5 )$
B) $( - 5 , - 3 )$
C) $( - \infty , - 5 )$ or $( - 3 , \infty )$
D) $( - 3 , \infty )$

Quizplus · Accepted Answer

The quadratic inequality $x^2 + 8x + 15 > 0$ can be factored into $(x + 5)(x + 3) > 0$. The roots are $x = -5$ and $x = -3$. The inequality is satisfied outside the interval $(-5, -3)$, thus the solution is $(-\infty, -5)$ or $(-3, \infty)$.

Solve the Inequality x2+8x+15>0x ^ { 2 } + 8 x + 15 > 0x2+8x+15>0

Solve the Inequality $x ^ { 2 } + 8 x + 15 > 0$