SOLUTION: how do you solve the inequality 2x-3/2x-5 > -1

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Question 665675: how do you solve the inequality 2x-3/2x-5 > -1
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with
%282x-3%29%2F%282x-5%29+%3E+-1
...
Multiply both sides by (2x-5)
%28%282x-3%29%2Fcross%28%282x-5%29%29%29%28cross%282x-5%29%29+%3E+-1%282x-5%29
2x-3 > -2x + 5
...
Isolate x on one side
2x + 2x > 5 + 3
4x > 8
...
Divide both sides by 4
cross%284%29x%2Fcross%284%29+%3E+8%2F4
highlight%28x+=+2%29
...
Check
2(2) - 3 = 4-3 = 1
2(2) - 5 = 4-5 = -1
1%2F-1+=+-1
.....................
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