Question

solve for n. n + 5 ≤ 1 or n + 4 > 11 write your answer as a compound inequality with integers. n ≤ -4 or n > 7 n ≤ 6 or n > 7 n ≤ 6 or n > 15 n ≤ -4 or n > 15

Explanation:

Step1: Solve first inequality

Subtract 5 from both sides:
$n + 5 - 5 \leq 1 - 5$
$n \leq -4$

Step2: Solve second inequality

Subtract 4 from both sides:
$n + 4 - 4 > 11 - 4$
$n > 7$

Answer:

$n \leq -4$ or $n > 7$