Answer
$\lt$
Work Step by Step
The Multiplication Property of Inequality states that if a negative number $c$ is multiplied to each side of $a \gt b$, then $ac \lt bc$.
Thus, if $x \gt -2$, then, multiplying $-4$ to each side of the inequality gives:
$-4(x) \lt -4(-2)
\\-4x \lt 8$
Thus, the missing inequality symbol in the given statement is $\lt$.