SOLUTION: 3+2|-4x+5|≤11

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Question 600737: 3+2|-4x+5|≤11
Answer by Edwin McCravy(20086) About Me  (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
   %28-9%29%2F%28-4%29 ≥ x ≥ %28-1%29%2F%28-4%29

   9%2F4 ≥ x ≥ 1%2F4

Which can be written as

   1%2F4 ≤ x ≤ 9%2F4

   [1%2F4, 9%2F4]

Edwin