Given:
[tex]-\frac{1}{2}x\ge-8[/tex]
To solve this question, follow the steps.
Step 01: Multiply both sides by 2.
[tex]\begin{gathered} -\frac{1}{2}x\cdot2\ge-8\cdot2 \\ -1x\ge-16 \\ -x\ge-16 \end{gathered}[/tex]
Step 02: Multiply the equation by -1.
When you do it, you have to change ≥ by ≤.
[tex]\begin{gathered} -x\ge-16 \\ -x\cdot(-1)\leq-16\cdot(-1) \\ x\leq16 \end{gathered}[/tex]
Step 03: Graph the solution.
All the points where x ≤16 are possible solutions.
Answer: C.
