SOLUTION: 3+2|-4x+5|≤11

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Question 600737: 3+2|-4x+5|≤11
Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
   3 + 2|-4x + 5| ≤ 11
  -3                -3
 ----------------------
       2|-4x + 5| ≤  8

Divide both sides by 2

        |-4x + 5| ≤  4

    -4 ≤ -4x + 5 ≤ 4
    -5        -5  -5
   ------------------
    -9 ≤ -4x    ≤ -1

Dividing through by -4 reverses the inequalities
    ≥ x ≥ 

    ≥ x ≥ 

Which can be written as

    ≤ x ≤ 

   [, ]

Edwin

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