Solve the inequality |6x - 3| < 9

Solve the absolute value inequality |6x - 3| < 9

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Absolute Value means distance away from zero.

If |6x - 3| < 9, then (6x - 3) is less than or equal to 9 away from zero.
The two numbers that are 9 away from zero are 9 and -9.
Then 6x - 3 is in between -9 and 9.

-9 < 6x - 3 < 9 {the value of (6x - 3) is in between -9 and 9, since its distance away from zero is 9}
-6 < 6x < 12 {added 3 to the left, middle, and right}
-1 < x < 2 {divided the left, middle, and right by 2}

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