posted by Anonymous on .
absolute value 2x-20 absolute value=absolute value 9x+ ansolute value 15
Following the definition of the absolute function, we have:
|2x-20|=2x-20 when 2x-20≥0, and
|2x-20|=-(2x-20) when 2x-20<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:
2x-20=9x+15 ...(1), and
The following graphic depicts the solutions to (1) and (2):