Answer
$\{n\ |\ n\gt-13\}\cap\{n\ |\ n\leq14\}$
Work Step by Step
$-6\lt n+7\leq21\longrightarrow$ subtract 7 from each part
$-6-7\lt n+7-7\leq21-7\longrightarrow$ subtract
$-13\lt n\leq14$
This solution can be written as
$n\gt -13$ AND $n\leq14$
A compound inequality joined by AND is the intersection of the two solution sets.
