# SOLUTION: can you help me solve this problem Solve and write the answer in set notation /3x-6/>3 Here is my answer 3x-6>3 3x-6>-3 3x-6+6>3+6 3x-6+6>-3+6 3x>9 3x>

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: can you help me solve this problem Solve and write the answer in set notation /3x-6/>3 Here is my answer 3x-6>3 3x-6>-3 3x-6+6>3+6 3x-6+6>-3+6 3x>9 3x>      Log On

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 Question 76936: can you help me solve this problem Solve and write the answer in set notation /3x-6/>3 Here is my answer 3x-6>3 3x-6>-3 3x-6+6>3+6 3x-6+6>-3+6 3x>9 3x>3 3x/3>9/3=x>3 3x/3>3/3=x>1 {x/x>3}Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website! Solve and write the answer in set notation |3x-6|>3 Here is my answer 3x-6>3 3x-6>-3 3x-6+6>3+6 3x-6+6>-3+6 3x>9 3x>3 3x/3>9/3=x>3 3x/3>3/3=x>1 {x/x>3} No that's wrong. You can't solve absolute value inequalities the same way you solve absolute value equations. Learn these two rules, one for < and one for >: 1. To remove absolute values from |EXPRESSION| < A Change it to -A < EXPRESSION < +A and solve for x in the middle 2. To remove absolute values from |EXPRESSION| > A Change it to EXPRESSION < -A OR EXPRESSION > +A and solve both parts for x. Yours is case 2: |3x - 6| > 3 Change it to 3x - 6 < -3 OR 3x - 6 > +3 3x < 3 OR 3x > 9 x < 1 OR x > 3 So you can write this in set-builder notation as {x | x < 1 OR x > 3} You can also write it in interval notation (-¥, 1) È (3, ¥) Edwin