Question

Check all of the answers that are in the solution set of the inequality.x/-5 less or equal to -2.A. 1B. 10C. 18D. -5E. 25F. 0

Answer 1

Answer:

The correct options are:

B

C

E

Explanation:

Given the inequality:

$\frac{x}{-5}\leq-2$

To know which of the options are in the solution set, we test for each of the options and see which one satisfies the inequality.

For x = 1

$\begin{gathered} \frac{1}{-5}\leq-2 \\ \\ -0.2\leq-2 \end{gathered}$

THIS IS NOT TRUE!

For x = 10

$\begin{gathered} \frac{10}{-5}\leq-2 \\ \\ -2\leq-2 \end{gathered}$

THIS IS TRUE

For x = 18

$\begin{gathered} \frac{18}{-5}\leq-2 \\ \\ -3.6\leq-2 \end{gathered}$

THIS IS TRUE

For x = -5

$\begin{gathered} \frac{-5}{-5}\leq-2 \\ \\ 1\leq-2 \end{gathered}$

THIS IS NOT TRUE

For x = 25

$\begin{gathered} \frac{25}{-5}\leq-2 \\ \\ -5\leq-2 \end{gathered}$

THIS IS TRUE

For x = 0

$\begin{gathered} \frac{0}{-5}\leq-2 \\ \\ 0\leq-2 \end{gathered}$

THIS IS NOT TRUE!