SOLUTION: |2-3x| < 8 Part 1. Rewrite the inequality as an equivalent pair without absolute values or as a 3 part inequality. Part 2. Solve the inequality from step 1 by isolating x.

Question 1018960: |2-3x| < 8
Part 1. Rewrite the inequality as an equivalent pair without absolute values or as a 3 part inequality.
Part 2. Solve the inequality from step 1 by isolating x.
Part 3. Express answer from part 2. in interval notation and in set-builder notation.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Either 2-3x is non-negative, or it is negative; each condition giving a different equation to be combined as INTERSECTION.

As non-negative:

As negative: which makes this to .

Your system of two equations to be combined as an INTERSECTION will be .

FOUND: AND , but if you want to indicate in a more condensed way and still be correct, .
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