Solving Linear Inequalities - Example 2x < x - 1 ≤ 3x + 5

In this video, I show you how to solve for a combined inequality 2x < x - 1 ≤ 3x +5. The first step is to separate the inequality into 2 parts. So we have...

1. 2x < x - 1
2. x - 1 ≤ 3x +5

Now we can solve each part individually. So for the first part (1), the solution is...

x < -1

For the second part (2), the solution is...

x ≥ -3

After we have found the solutions to the 2 parts,  we then combine the partial solutions at the end. So with x < -1 and x ≥ -3, we have a combined solution of...

-3 < x ≤ -1