Question

5+7n>-37 and n +8 <4
Solve each compound iniquity and graph its solution.

Answer 1

-6 < n < -4

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)