Solve the inequality.
\[
\begin{array}{c}
\frac{-4(x-2)}{2} \leq-x \\
x \geq[?]
\end{array}
\]
The solution to the inequality is \(\boxed{x \geq 4}\). This means that any value of \(x\) that is greater than or equal to 4 will satisfy the inequality.
Step 1 :Solve the inequality \(\frac{-4(x-2)}{2} \leq -x\).
Step 2 :Simplify the left side of the inequality to get \(4 - 2x\).
Step 3 :Add \(x\) to both sides of the inequality to get \(4 \leq x\).
Step 4 :Rearrange the inequality to get \(x \geq 4\).
Step 5 :The solution to the inequality is \(\boxed{x \geq 4}\). This means that any value of \(x\) that is greater than or equal to 4 will satisfy the inequality.