Solve the inequality: |2x - 1| < 7

**Absolute value is the distance away from zero.**

|2x - 1| < 7 {the distance (2x - 1) is from zero, is less than 7}

The two numbers that are 7 away from zero are 7 and -7. Therefore, (2x - 1) is between 7 and -7.

-7 < 2x - 1 < 7 {the value of (2x - 1) lies between 7 and -7}

+1 +1 +1

-6 < 2x < 8 {added 1 to the left, the middle, and the right}

**-3 < x < 4**{divided the left, middle, and right by 2}

*- Algebra House*