Question

Help Please.

2x-1/x>1

Answer 1

2x-1/x>1 multiply by x

2x-1 > x subtract x

x -1 >0 add 1

x>1

Answer 2

my text gives your answer and also x<0 as the solution set.

Answer 3

in such questions you should take everything to one side=>(2x-1)/x-1>0
=>(x-1)/x>0
now set a table and solve

Answer 4

okk i see where it went wrong!! sorry there is another way to solve such inequalities

2x-1/x>1
(2x-1/x ) -1 > 0
(2x-1/x ) - x/x > 0
(2x-x-1)/x > 0
x-1/x > 0
now we set the table