Posted by Anonymous on Tuesday, September 21, 2010 at 6:59pm.
solve
absolute value 2x20 absolute value=absolute value 9x+ ansolute value 15
2x20=9x+15

college math  MathMate, Tuesday, September 21, 2010 at 7:42pm
Following the definition of the absolute function, we have:
2x20=2x20 when 2x20≥0, and
2x20=(2x20) when 2x20<0
and a similar relationship exists for the right hand side.
For this particular case, solving the following equations for x will cover all cases:
2x20=9x+15 ...(1), and
2x20=(9x+15) ...(2)
The following graphic depicts the solutions to (1) and (2):
http://img228.imageshack.us/img228/2189/1285109962.png
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