Solve. 5 < x – 2 < 11 (1 point) Responses 5 < x < 11 5 < x < 11 7 < x < 13 7 < x < 13 7 < x < 11 7 < x < 11 5 < x < 16
The correct answer is: 7 < x < 13
To solve the inequality 5 < x - 2 < 11, we will add 2 to each part of the inequality separately.
Adding 2 to all the expressions:
5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to:
7 < x < 13
Therefore, the correct answer is: 7 < x < 13.
To solve the inequality 5 < x - 2 < 11, we need to isolate the variable x by performing the same operation to all parts of the inequality. Here's how you can do it:
Step 1: Add 2 to all parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
Therefore, the correct solution is 7 < x < 13. This means that x can take any value between 7 and 13, excluding the endpoints.