SOLUTION: Solve the following inequality and write the solution in the form of intervals. |3x/5-1|>2/5

Algebra ->  Inequalities -> SOLUTION: Solve the following inequality and write the solution in the form of intervals. |3x/5-1|>2/5      Log On


   

Question 973932: Solve the following inequality and write the solution in the form of intervals.
|3x/5-1|>2/5
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following inequality and write the solution in the form of intervals.
|3x/5-1|>2/5
2 solutions:
case 1:
3x/5-1>2/5
lcd:5
3x-5>2
3x>7
x>7/3
..
case 2:
-(3x/5-1)>2/5
3x/5-1<-2/5
lcd:5
3x-5<-2
3x<3
x<1
..
number line:
<===1......7/3===>
(-∞,1) U (7/3, ∞)