Answer
$x \gt -5$.
Work Step by Step
Need to solve the inequalities.
Thus, $3x+7 \gt 4$
or, $3x\gt -3$
or, $x \gt -1$
and
$6-x \lt 1$
or, $-x \lt -5$
or, $x \gt -5$
Thus, the union of the $x \gt -1$ and $x \gt -5$ will be $x \gt -5$.
