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.
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Inequalities
-> 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.
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Question 1018921: |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 robertb(5830) (Show Source):
You can put this solution on YOUR website! Part 1. is equivalent to the compound inequality
-8 < 2-3x < 8.
Part 2. To isolate x, subtract 2 from ALL sides to get
-10 < -3x < 6.
To eliminate the coefficient -3 in front of x, divide ALL sides by -3, keeping in mind that the divisor is negative, which reverses the direction of the inequality symbols, or
Part 3. I leave it up to you...
