List the critical values of the related function. Then solve the inequality.
-$$\frac { 1 } { x - 4 } \leq 0$$
A) $- 4,4 ; [ - 4,4 ]$
B) $4 ; ( - \infty , 4 )$
C) No critical values; $\varnothing$
D) $- 4 ; ( - \infty , - 4 ]$

Question

Quizplus · Accepted Answer

The critical value of the function is $x = 4$, because the inequality involves a fraction with a denominator that can become 0, making the function undefined at $x = 4$. The inequality $\frac{1}{x-4} \leq 0$ is satisfied for $x < 4$, hence the solution is $x \in (-\infty, 4)$.

List the Critical Values of the Related Function 1x−4≤0\frac { 1 } { x - 4 } \leq 0x−41​≤0

List the Critical Values of the Related Function $\frac { 1 } { x - 4 } \leq 0$