A compound inequality is formed by two inequalities, with diferent values ≤≥<>
Then first divide the inequality in
1≤ x + 7
and
x + 7< 5
then first becomes
-x ≤ 7-1≤6 or same x≥ -6
second inequality becomes
x < 5-7 < -2
then the composed inequality solution is
-6 ≤ x < -2