Solve the inequality please.?

Question

|2x −1| > |x|

Thanks!!!

Answer 1

either 2x - 1 > x    or     2x - 1 < -x

now treat as two seperate inequality.

x - 1 > 0     or    3x < 1

x > 1    or     x < 1/3

Answer 2

2x-1     > x

2x-1-x  > x-x

x-1      > 0

x-1+1  > 0+1

x        > 1

To make it easier, just forget that it's even an inequality. Just replace the inequality sign with an equal sign and work it out like every other equation. But be careful when u divide both sides by a negative! The sign changes. So if the sign was this > then it would change into this <.