SOLUTION: 3/(2x-1) is greater than -4/x

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Question 158864This question is from textbook college algebra
: 3/(2x-1) is greater than -4/x This question is from textbook college algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
3/(2x-1) is greater than -4/x
.
+3%2F%282x-1%29+%3E+-4%2Fx+
To start, you need to multiply both sides with a common denominator x(2x-1):
+x%282x-1%29%283%2F%282x-1%29%29+%3E+x%282x-1%29%28-4%2Fx%29+
Canceling like-terms:
+x%283%29+%3E+%282x-1%29%28-4%29+
+3x+%3E+-8x%2B1+
adding 8x to both sides:
+11x+%3E+1+
dividing both sides by 11:
+x+%3E+1%2F11+