Solve the inequality.
-$$x ^ { 2 } - 5 x - 6 \leq 0$$
A) $( - \infty , - 1 ]$ or $[ 6 , \infty )$
B) $( - \infty , - 1 ]$
C) $[ - 1,6 ]$
D) $[ 6 , \infty )$

Question

Quizplus · Accepted Answer

To solve the inequality $x^2 - 5x - 6 \leq 0$, first factor the quadratic expression. The factors are $(x - 6)(x + 1)$, giving the roots $x = 6$ and $x = -1$. The inequality is satisfied between these roots, including the roots themselves, hence the solution is $[ - 1,6 ]$.

Solve the Inequality x2−5x−6≤0x ^ { 2 } - 5 x - 6 \leq 0x2−5x−6≤0

Solve the Inequality $x ^ { 2 } - 5 x - 6 \leq 0$