SOLUTION: Solve and write the solution in set builder notation: (3)/(x-1)+(4)/(x)is greater than or equal to(5)/(x-1) Should the undefined values be included in answer?

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Question 510939: Solve and write the solution in set builder notation:
(3)/(x-1)+(4)/(x)is greater than or equal to(5)/(x-1)

Should the undefined values be included in answer?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(3)/(x-1)+(4)/(x)is greater than or equal to(5)/(x-1)
Should the undefined values be included in answer?
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They are not included in the solution.
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3/(x-1) + 4/x >= 5/(x-1)
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Multiply thru by x(x-1) to get:
3x + 4(x-1) >= 5x
3x + 4x-4 >= 5x
7x -4 >= 5x
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2x >= 4
x >= 2
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Note:
The equations are undefined for x = 0
and for x = 1.
Those values of x = 0 and x = 1
are not greater than 2 so they do not affect
the solution set.
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Cheers,
Stan H.
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