Question

Solve for x: 3 < x + 3 < 6

Answer 1

You have the following inequality:

3 < x + 3 < 6​

When you have a double inequality, the solution for x consists in making the inequality to the form a < x < b.

Then, to solve for x the given inequality you proceed as follow:

3 < x + 3 < 6​ subtract both sides by 3

3 - 3 < x + 3 - 3 < 6 - 3 simplify

0 < x < 3

Then the solution is the interval (0,3)