Answer:
-6 < n < -4
Step-by-step explanation:
Solving the inequality 5 + 7n > -37 :
5 + 7n > -37
⇔ 7n > -37 - 5
⇔ 7n > -42
⇔ n > -42/7
⇔ n > -6
Solving the inequality n + 8 < 4 :
n + 8 < 4
⇔ n < 4 - 8
⇔ n < -4
Then , the solution to the compound inequality
5 + 7n > -37 and n + 8 < 4 is :
All real numbers n ,where -6 < n < -4
The solution in interval notation (-6 , -4)
