document.write( "Question 1019960: If a, b, x, and y are all greater than 0 and x>a and y \n" ); document.write( "

Algebra.Com's Answer #635940 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Assume that you have two positive numbers

and

and you calculate their product. Then you have another pair of positive numbers

and

where

and

. It should be obvious to the casual observer that:\r
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\ ay\">\r
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\n" ); document.write( "\n" ); document.write( "for all positive real numbers

, and

such that

and

.\r
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\n" ); document.write( "\n" ); document.write( "Since all the number are non-zero and non-negative, we can divide by any of them without creating an undefined number or changing the sense of the inequality. Divide both sides by

and

yielding:\r
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\n" ); document.write( "\n" ); document.write( "

\ \frac{a}{b}\">\r
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\n" ); document.write( "\n" ); document.write( "for all positive real numbers

, and

such that

and

.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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