SOLUTION: Solve for x: |4x-3|>5 here is what i did 4x-3>5 4x>8 4x/4>8/4 x>2 4x-3<-5 4x<-2 4x/4<-2/4 x<-1/2 -1/2>x>2 <-

Algebra ->  Absolute-value -> SOLUTION: Solve for x: |4x-3|>5 here is what i did 4x-3>5 4x>8 4x/4>8/4 x>2 4x-3<-5 4x<-2 4x/4<-2/4 x<-1/2 -1/2>x>2 <-      Log On


   



Question 11336: Solve for x: |4x-3|>5
here is what i did
4x-3>5
4x>8
4x/4>8/4
x>2
4x-3<-5
4x<-2
4x/4<-2/4
x<-1/2
-1/2>x>2 <---is it nessacary to write the answer like this or can I keep it like x>2 and x<-1/2?
but my real question is did I do the problem correctly?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Congratulations, you did it correctly.
The only thing is that the answer should be read as:
x > 2 or x < -1/2 Rather than: x > 2 and x < -1/2
Why? because x can't be both simultaneously.