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.

Algebra ->  Absolute-value -> 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.       Log On


   

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) About Me  (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: 2-3x%3C8

As negative: -%282-3x%29%3C8 which makes this to -2%2B3x%3C8.

Your system of two equations to be combined as an INTERSECTION will be system%282-3x%3C8%2C-2%2B3x%3C8%29.


FOUND: -2%3Cx AND x%3C10%2F3, but if you want to indicate in a more condensed way and still be correct, highlight%28-2%3Cx%3C10%2F3%29.