document.write( "Question 324930: If a and b are any real numbers such that 0 < a < 1 < b, which of the following must be true of the value of ab ?
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\n" ); document.write( "F. 0 < ab < a
\n" ); document.write( "G. 0 < ab < 1
\n" ); document.write( "H. a < ab < 1
\n" ); document.write( "J. a < ab < b
\n" ); document.write( "K. b < ab\r
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Algebra.Com's Answer #232648 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"0+%3C+a+%3C+1+%3C+b\"
\n" ); document.write( "Multiply all terms by \"b\" since \"b%3E1\"
\n" ); document.write( "\"0+%3C+ab+%3C+b+%3C+b%5E2\"
\n" ); document.write( "Since \"b%3E1\", then \"ab%3Ea\" so then,
\n" ); document.write( "\"0+%3C+a+%3C+ab+%3C+b+%3C+b%5E2\"
\n" ); document.write( "Given that,
\n" ); document.write( "F. \"0+%3C+ab+%3C+a\", Never true
\n" ); document.write( "G. \"0+%3C+ab+%3C+1\", Not always true
\n" ); document.write( "H. \"a+%3C+ab+%3C+1\", Not always true
\n" ); document.write( "J. \"a+%3C+ab+%3C+b\", True
\n" ); document.write( "K. \"b+%3C+ab\", Never true
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