Answer
Yes, it does make sense.
Work Step by Step
Consider the given equation.
$-2x+5\ge 13$
Solve the above equation.
$\begin{align}
& -2x+5\ge 13 \\
& -2x\ge 13-5 \\
& x\le \frac{8}{-2} \\
& x\le -4
\end{align}$
Now, the above solution shows that the value of x is less than or equal to$-4$. So, this concludes that$-4$ is the greatest integer in the solution set.
Thus, the given statement does make sense.
