document.write( "Question 697295: If 4 < a < 7 < b < 9, then which of the following best defines a/b?\r
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document.write( "I tried to look at it like a triangle, with (a) being 6 and (b) being 8, but I'm stuck after that. \r
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document.write( "a. 4/9 < a/b < 1
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document.write( "b. 4/9 < a/b < 7/9
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document.write( "c. 4/7 < a/b < 7/9
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document.write( "d. 4/7 < a/b < 1
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document.write( "e. 4/7 < a/b < 9/7 \n" );
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Algebra.Com's Answer #429870 by AnlytcPhil(1807)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Here is the correct solution:\r\n" ); document.write( "\r\n" ); document.write( "First we must prove another theorem:\r\n" ); document.write( "\r\n" ); document.write( "The reciprocals of two given unequal positive numbers are\r\n" ); document.write( "positive numbers unequal in the opposite order from the \r\n" ); document.write( "two given positive numbers.\r\n" ); document.write( "\r\n" ); document.write( "[Maybe you've already proved this, but in case you haven't,\r\n" ); document.write( "here is the proof of that]:\r\n" ); document.write( "\r\n" ); document.write( "Proof:\r\n" ); document.write( "\r\n" ); document.write( "Suppose we are given:\r\n" ); document.write( "\r\n" ); document.write( "0 < x < y and we are to prove that 0 <\n" ); document.write( " |