Answer
The given statement makes sense.
Work Step by Step
Let us consider the inequality $5x+4<8x-5$
Take variables on one side,
$\begin{align}
& 5x+4<8x-5 \\
& 4+5<8x-5x \\
& 9<3x
\end{align}$
On dividing both sides by 3, we get,
$\begin{align}
& 3\lt x \\
\end{align}$
During the whole solution, there is no need to divide by a negative number.
Therefore, the solution can be determined without division by a negative number.
