Solve the inequality.
-$x ^ { 2 } - 2 x - 24 \leq 0$
A) $- 4 \leq x \leq 6$
B) $x \geq 6$
C) $x \leq - 4 \text { or } x \geq 6$
D) $x \leq - 4$

Question

Quizplus · Accepted Answer

To solve the inequality $x^2 - 2x - 24 \leq 0$, factor the quadratic equation to $(x - 6)(x + 4) \leq 0$. The roots are $x = 6$ and $x = -4$. The inequality is satisfied between these two roots, including the endpoints, hence $-4 \leq x \leq 6$.

Solve the Inequality x2−2x−24≤0x ^ { 2 } - 2 x - 24 \leq 0x2−2x−24≤0

Solve the Inequality $x ^ { 2 } - 2 x - 24 \leq 0$