Answer
Yes, the provided statement makes sense.
Work Step by Step
The provided statement makes sense because,
From the provided inequality,
\[5x+4<8x-5\]
If we take the variable term right hand side and constant term left hand side then,
\[\begin{align}
& 4+5<8x-5x \\
& 9<3x \\
& x>3
\end{align}\]
So, in this case there is no need of division by a negative number.
Now, if the variable term is taken left hand side and constant term right hand side then,
Hence, in this case, it is required to divide by negative number.
So, the provided statement makes sense because we can avoid division by a negative number depending on which side I collect the variable terms and on which side I collect the constant terms.
