Question 600737
<pre>
   3 + 2|-4x + 5| &#8804; 11
  -3                -3
 ----------------------
       2|-4x + 5| &#8804;  8

Divide both sides by 2

        |-4x + 5| &#8804;  4

    -4 &#8804; -4x + 5 &#8804; 4
    -5        -5  -5
   ------------------
    -9 &#8804; -4x    &#8804; -1

Dividing through by -4 reverses the inequalities
   {{{(-9)/(-4)}}} &#8805; x &#8805; {{{(-1)/(-4)}}}

   {{{9/4}}} &#8805; x &#8805; {{{1/4}}}

Which can be written as

   {{{1/4}}} &#8804; x &#8804; {{{9/4}}}

   [{{{1/4}}}, {{{9/4}}}]

Edwin</pre>