-3 < 2x - 1 < 1

Answer 1

To solve this inequality, we need to isolate the variable x.

Starting with the given inequality: -3 < 2x - 1 < 1

First, let's add 1 to all parts of the inequality to get rid of the constant -1:

-3 + 1 < 2x - 1 + 1 < 1 + 1
-2 < 2x < 2

Now, divide all parts of the inequality by 2 to solve for x:

-2/2 < 2x/2 < 2/2
-1 < x < 1

Therefore, the solution to the given inequality is -1 < x < 1.