Solve the inequality. Write the solution set in interval notation.
-$$x ^ { 2 } - 5 x - 14 0$$
A) $( - \infty , - 2 ) \cup ( 7 , \infty )$
B) $( - 7,2 )$
C) $( - 2,7 )$
D) $( - \infty , - 7 )$

Question

Solve the inequality. Write the solution set in interval notation.
-$$x ^ { 2 } - 5 x - 14 > 0$$
A) $( - \infty , - 2 ) \cup ( 7 , \infty )$
B) $( - 7,2 )$
C) $( - 2,7 )$
D) $( - \infty , - 7 )$

Quizplus · Accepted Answer

First, factor the quadratic inequality: $x^2 - 5x - 14 = (x - 7)(x + 2) > 0$. The roots are $x = 7$ and $x = -2$. The inequality is satisfied outside the interval $(-2, 7)$, thus the solution is $(-\infty, -2) \cup (7, \infty)$.

Solve the Inequality x2−5x−14>0x ^ { 2 } - 5 x - 14 > 0x2−5x−14>0

Solve the Inequality $x ^ { 2 } - 5 x - 14 > 0$