SOLUTION: |3x - 6| + 3 < 15

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Question 903192: |3x - 6| + 3 < 15

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
|3x - 6| + 3 < 15

Let U = 3x - 6

     |U| + 3 < 15
 
         |U| < 12

       -12 < U < 12 

    -12 < 3x - 6 < 12
     +6       +6   +6
   -------------------
     -6 < 3x     < 18

     %28-6%29%2F3%3C%283x%29%2F3%3C18%2F3

      -2%3Cx%3C6

Interval notation (-2,6)

Edwin