Solve and graph. Write the result in interval notation.
-$5 x \leq 40$

A) $[ 8 , \infty )$
B) $( - \infty , 8 )$
C) $( - \infty , 8 ]$
D) $( 8 , \infty )$

Question

Solve and graph. Write the result in interval notation.
-$5 x \leq 40$

A) $[ 8 , \infty )$ 
B) $( - \infty , 8 )$ 
C) $( - \infty , 8 ]$ 
D) $( 8 , \infty )$

Quizplus · Accepted Answer

To solve the inequality, we must isolate the variable by dividing both sides by 5: 
\begin{align*}
5x &\leq 40 \
\frac{5x}{5} &\leq \frac{40}{5} \
x &\leq 8
\end{align*}
So the solution to the inequality is $x\leq8$. This can be written in interval notation as $(-\infty,8]$. Therefore, the best choice is C.

Solve and Graph 5x≤405 x \leq 405x≤40 A) [8,∞)[ 8 , \infty )[8,∞)

Solve and Graph $5 x \leq 40$ A) $[ 8 , \infty )$