#### Answer

$x\gt-\dfrac{11}{5}$

#### Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $
-3x-4\lt2x+7
,$ is
\begin{array}{l}\require{cancel}
-3x-2x\lt7+4
\\\\
-5x\lt11
\\\\
x\gt\dfrac{11}{-5}
\\\\
x\gt-\dfrac{11}{5}
.\end{array}