Question

I just need to know the answer to question 11

Answer 1

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

Step-by-step explanation:

Given the compound inequalities:

`x-1\le7\text{ or }2x\ge22`

First, solve both inequalities:

`\begin{gathered} x-1\le7\implies x\le7+1\implies x\le8 \\ 2x\ge22\implies x\ge(22)/(2)\implies x\ge11 \end{gathered}`

Thus, the number line should be the one that represents the solution:

`x\le8\text{ or }x\ge11`

• For x≤8, there is a ,closed circle on 8, and ,shading to the left.

,

• For x≥11, there is a ,closed circle on 11, and ,shading to the right.

Therefore, the correct description will be:

A number line a closed circle on 8, shading to the left, and a closed circle on 11, shading to the right.

The last option is correct.