Answer
$\gt$
Work Step by Step
RECALL:
The Addition Property of Inequality states that for real numbers $a$, $b$, and $c$,
If $a \gt b$, then $a+c \gt b+c$
Thus. if $x \gt -4$, then, adding $4$ to each side of the inequality gives:
$x + 4 \gt -4+4
\\x+4 \gt 0$
Therefore, the missing inequality symbol is $\gt$.