Question

Which inequality is true when the value of w is 6? O –W – 9.5 > 5 -W – 9.5 > -5 O W – 9.5 < -5 o –w – 9.5 < -5

Answer 1

Given data:

The value of w is 6.

The first option is,

`\begin{gathered} -w-9.5\ge5 \\ -w\ge14.5 \\ w\leq-14.5 \end{gathered}`

The second option is,

`\begin{gathered} -w-9.5\ge-5 \\ -w\ge4.5 \\ w\leq-4.5 \end{gathered}`

The third option is,

`\begin{gathered} w-9.5\leq-5 \\ w\leq4.5 \end{gathered}`

The last option is,

`\begin{gathered} -w-9.5\leq-5 \\ -w\leq4.5 \\ w\ge-4.5 \end{gathered}`

Thus, the last option is correct.