Answer
$x\lt-\dfrac{9}{4}$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
-x-4-3x\gt5
,$ is
\begin{array}{l}\require{cancel}
-x-3x\gt5+4
\\\\
-4x\gt9
\\\\
x\lt\dfrac{9}{-4}
\\\\
x\lt-\dfrac{9}{4}
.\end{array}