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

The correct options are:

B

C

E

Step-by-step explanation:

Given the inequality:

`(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} (1)/(-5)\leq-2 \\ \\ -0.2\leq-2 \end{gathered}`

THIS IS NOT TRUE!

For x = 10

`\begin{gathered} (10)/(-5)\leq-2 \\ \\ -2\leq-2 \end{gathered}`

THIS IS TRUE

For x = 18

`\begin{gathered} (18)/(-5)\leq-2 \\ \\ -3.6\leq-2 \end{gathered}`

THIS IS TRUE

For x = -5

`\begin{gathered} (-5)/(-5)\leq-2 \\ \\ 1\leq-2 \end{gathered}`

THIS IS NOT TRUE

For x = 25

`\begin{gathered} (25)/(-5)\leq-2 \\ \\ -5\leq-2 \end{gathered}`

THIS IS TRUE

For x = 0

`\begin{gathered} (0)/(-5)\leq-2 \\ \\ 0\leq-2 \end{gathered}`

THIS IS NOT TRUE!