Solve the inequality.
-$$x ^ { 2 } - 4 x - 5 \leq 0$$
A) $( - \infty , - 1 ]$
B) $( - \infty , - 1 ]$ or $[ 5 , \infty )$
C) $[ 5 , \infty )$
D) $[ - 1,5 ]$

Question

Quizplus · Accepted Answer

To solve the inequality $x^2 - 4x - 5 \leq 0$, first factor the quadratic equation. It factors to $(x - 5)(x + 1) \leq 0$. The roots are $x = 5$ and $x = -1$. The inequality is satisfied between these two roots, including the endpoints, hence the solution is $[ - 1,5 ]$.

Solve the Inequality x2−4x−5≤0x ^ { 2 } - 4 x - 5 \leq 0x2−4x−5≤0

Solve the Inequality $x ^ { 2 } - 4 x - 5 \leq 0$