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Question 600335: SOlve the following inequality x+17/x-1 less than or equal to 1 with steps please
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! SOlve the following inequality x+17/x-1 less than or equal to 1 with steps please
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1st: Solve the EQUALITY:
(x+17)/(x-1) = 1
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x+17 = x-1
17 = -1
No solution for the equality.
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2nd: Solve the INEQUALITY:
(x+17)/(x-1) < 1
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Draw a number line and put a point at x = 1
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If x < 1 you get ?
Test x = 0; You get 17/-1 < 1, which is true.
So solutions where x < 1.
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If x > 1 you get ?
Test x = 2; You get 19/1 < 1, which is false.
So no solutions where x > 1.
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Final Answer: x < 1
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Cheers,
Stan H.
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