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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 Comments are closed.
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