SOLUTION: When 0 is less than a and a is less than b, is it correct that a over b is less than b over a? Why? 0<a<b a/b

SOLUTION: When 0 is less than a and a is less than b, is it correct that a over b is less than b over a? Why? 0<a<b a/b < b/a

Question 1120380: When 0 is less than a and a is less than b, is it correct that a over b is less than b over a? Why?
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Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39799) (Show Source): You can put this solution on YOUR website!
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When 0 is less than a and a is less than b, is it correct that a over b is less than b over a? Why?
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Both denominators are now the same so you can look at the order for and .
Answer by ikleyn(53765) (Show Source): You can put this solution on YOUR website!
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Simply notice that under given conditions is less than 1, while is greater than 1. Hence, < .

Nothing more and nothing else.

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