Solve
5<x-2<11
My answer is 7<x<13
correct
To solve the inequality 5 < x - 2 < 11, you will need to isolate the variable x by performing the same operation on all three parts of the inequality.
Let's break it down step by step:
1. Start with the inequality: 5 < x - 2 < 11.
2. Add 2 to all three parts of the inequality to isolate x in the middle: 5 + 2 < x - 2 + 2 < 11 + 2.
3. Simplify: 7 < x < 13.
Therefore, the correct solution to the inequality 5 < x - 2 < 11 is 7 < x < 13.