Solve 5<x—2 < 11
5 < x < 11
7< x < 13
7 < x < 11
5 < x < 16
The correct answer is 7 < x < 11.
To solve the inequality 5 < x - 2 < 11, we need to isolate the variable x.
Step 1: Add 2 to all parts of the inequality.
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
So, the solution to the inequality 5 < x - 2 < 11 is 7 < x < 13.
To solve the inequality 5 < x—2 < 11, we can solve it in two steps.
First, we can isolate the x variable by adding 2 to all parts of the inequality:
5 + 2 < x—2 + 2 < 11 + 2
7 < x < 13
So the first part of the solution is 7 < x < 13.
Then, we need to simplify and rewrite the inequality without any additional operations. In this case, we can simplify it further by adding 2 to 5 and 11:
7 < x < 13
Therefore, the solution to the inequality 5 < x—2 < 11 is 7 < x < 13.