Solve the problem.
-$$( x + 2 ) ( x - 7 ) \leq 0$$
A) $( - \infty , - 2 ]$ or $[ 7 , \infty )$
B) $[ - 2,7 ]$
C) $( - \infty , - 2 ]$
D) $[ 7 , \infty )$

Question

Quizplus · Accepted Answer

The inequality $(x + 2)(x - 7) \leq 0$ is satisfied when either one of the factors is negative and the other is positive or both are zero. This occurs between the roots of the equation, which are $x = -2$ and $x = 7$, including the endpoints. Therefore, the solution is $[ - 2,7 ]$.

Solve the Problem (x+2)(x−7)≤0( x + 2 ) ( x - 7 ) \leq 0(x+2)(x−7)≤0

Solve the Problem $( x + 2 ) ( x - 7 ) \leq 0$