SOLUTION: 2|2x-9|+4>6 how to solve? I got the answer (4,5) but that is incorrect. and on the graph technically it would go as like (4,oo), (5,oo) those were infinity's lol

Algebra ->  Absolute-value -> SOLUTION: 2|2x-9|+4>6 how to solve? I got the answer (4,5) but that is incorrect. and on the graph technically it would go as like (4,oo), (5,oo) those were infinity's lol      Log On


   



Question 992657: 2|2x-9|+4>6 how to solve? I got the answer (4,5) but that is incorrect. and on the graph technically it would go as like (4,oo), (5,oo) those were infinity's lol
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
2|2x-9|+4>6
subtract 4 from both sides of >
2|2x-9| > 2
divide both sides of > by 2
|2x-9| > 1
we have two cases to consider
***************************************
1) 2x-9 > 1
2x > 10
x > 5
2) -(2x-9) > 1
2x - 9 < -1
2x < 8
x < 4
****************************************
the solution is
x < 4 or x > 5
the intervals are
(-infinity, 4) or (5, +infinity)