Solve. 5 < x – 2 < 11
(1 point)
5 < x < 11
7 < x < 13
7 < x < 11
5 < x < 16
To solve the inequality 5 < x - 2 < 11, we need to add 2 to all the sides of the inequality.
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
Therefore, the correct solution is 7 < x < 13.
To solve the inequality 5 < x - 2 < 11, we need to isolate the variable x.
First, let's add 2 to all parts of the inequality:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
So, the solution to the inequality is 7 < x < 13. Therefore, the correct answer is "7 < x < 13."
To solve the inequality 5 < x - 2 < 11, we can follow these steps:
1. Add 2 to all parts of the inequality: 5 + 2 < x - 2 + 2 < 11 + 2
This simplifies to: 7 < x < 13
Therefore, the solution to the inequality 5 < x - 2 < 11 is 7 < x < 13.