Answer
$(-∞,-4)$
Work Step by Step
We are given that $2x-5\gt4x+3$.
In order to solve for x, we must first subtract 2x from both sides.
$-5\gt2x+3$
Subtract 3 from both sides.
$-8\gt2x$
Divide both sides by 2.
$x\lt-4$
Therefore, the solution set consists of all values of x that are less than -4.