Question

Solve the compound inequality 5 ≤ x + 2 < 11. Which of the following options correctly represents the solution set?

A) 9 < x ≤ 3
B) 7 ≤ x < 13
C) 3 ≤ x < 9
D) 3 < x ≤ 9

Answer 1

The compound inequality 5 ≤ x + 2 < 11 can be solved by subtracting 2 from all parts of the inequality, resulting in 3 ≤ x < 9.

Step-by-step explanation:

We are given the compound inequality 5 ≤ x + 2 < 11. To solve this inequality, we need to isolate the variable x. First, subtract 2 from all parts of the inequality:

3 ≤ x < 9

Therefore, option C) 3 ≤ x < 9 correctly represents the solution set.