Given data:
The value of w is 6.
The first option is,
[tex]\begin{gathered} -w-9.5\ge5 \\ -w\ge14.5 \\ w\leq-14.5 \end{gathered}[/tex]
The second option is,
[tex]\begin{gathered} -w-9.5\ge-5 \\ -w\ge4.5 \\ w\leq-4.5 \end{gathered}[/tex]
The third option is,
[tex]\begin{gathered} w-9.5\leq-5 \\ w\leq4.5 \end{gathered}[/tex]
The last option is,
[tex]\begin{gathered} -w-9.5\leq-5 \\ -w\leq4.5 \\ w\ge-4.5 \end{gathered}[/tex]
Thus, the last option is correct.
