SOLUTION: Solve the inequality and graph the solution set on a real number line.
(1/x+1) > (2/x-1)
Here is what I was trying:
(1/x+1) > (2/x-1)
-(2/x-1) > 0
___________ ______
(
Algebra.Com
Question 531952: Solve the inequality and graph the solution set on a real number line.
(1/x+1) > (2/x-1)
Here is what I was trying:
(1/x+1) > (2/x-1)
-(2/x-1) > 0
__________________
(1/x+1)-(2/x-1) > 0
(1(x-1)/((x+1)(x-1))-(2(x+1)/(x+1)(x-1))>0
________________________________________
(x-1-2x-2)/((x+1)(x-1))>0
_______________________
(-x-3)/(x+1)(x-1)>0
________________________
Set numerator equal to 0
-x-3=0
x=3
________________________
Set denominator equal to 0
x+1=0 x=-1
x-1=0 x=1
__________________________
Then I got stuck! I don't even know if I was doing the first part right.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Not sure how to read this without the use of parentheses!
Is it
or ?
I'll assume the second one.
Simplify.
Multiply both sides by (x+1)(x-1) to clear the denominators.
Subtract x from both sides.
Add 2 to both sides.
or
Your answer of x = 3 cannot be correct as you are dealing with inequalities.
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