SOLUTION: hello, why does |2x-3| + 4 =2 have no solution. please show steps in coming to that. thanks

Algebra ->  Absolute-value -> SOLUTION: hello, why does |2x-3| + 4 =2 have no solution. please show steps in coming to that. thanks      Log On


   

Question 1044751: hello,
why does |2x-3| + 4 =2 have no solution.
please show steps in coming to that.
thanks
Answer by MaxWong(38) About Me  (Show Source):
You can put this solution on YOUR website!
|2x-3|+4=2
|2x-3|=-2
An absolute value of a number, no matter positivity or negativity, could not be a negative number. Therefore no solution.