Can anyone solve the following?

                27 < 4|y + 9| - 9

You must learn two principles for 
inequalities to remove the absolute
value bars:
-----------------------------------
1. If C > 0
              |Ax + B| < C

   can be rewritten as

         " -C < Ax + B < C " 
-----------------------------------
2. If C > 0

              |Ax + B| > C

   can be rewritten as

   "  Ax + B < -C OR  Ax + B > C  "

------------------------------------  
Note the above two principles also 
hold for < and >          

    -4|y + 9| + 27 < -9

         -4|y + 9| < -9 - 27

         -4|y + 9| < -36

Divide both sides by -4, which reverses
the inequality:

           |y + 9| > 9 

This is principle 2 above

    y + 9 < -9  OR y + 9 > 9

        y < -18 OR y > 0

Plot on a numberline:

 <======o-----------o======>   
      -18           0

Interval notation:

      (-¥, -18) È (0, ¥)  

Edwin
AnlytcPhil@aol.com