document.write( "Question 1038692: The sum of two numbers is 30. Find what values of two numbers that would make their product be greater than 125 \n" ); document.write( "
Algebra.Com's Answer #653411 by Fombitz(32388)\"\" \"About 
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\"A%2BB=30\"
\n" ); document.write( "\"A=30-B\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"AB%3E125\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"%2830-B%29B%3E125\"
\n" ); document.write( "\"30B-B%5E2%3E125\"
\n" ); document.write( "\"B%5E2-30B%2B125%3C0\"
\n" ); document.write( "\"%28B-25%29%28B-5%29%3C0\"
\n" ); document.write( "Break up the number line into 3 regions,
\n" ); document.write( "\"B%3C5\"
\n" ); document.write( "\"5%3CB%3C25\"
\n" ); document.write( "\"B%3E25\"
\n" ); document.write( "Test the inequality in each region to see which satisfies the inequality.
\n" ); document.write( "\"B%3C5\"
\n" ); document.write( "\"B=4%7D%7D%0D%0A%7B%7B%7B%284-25%29%284-5%29%3C0\"
\n" ); document.write( "\"-21%28-1%29%3C0\"
\n" ); document.write( "\"21%3C0\"
\n" ); document.write( "False.
\n" ); document.write( "\"5%3CB%3C25\"
\n" ); document.write( "\"B=6%7D%7D%0D%0A%7B%7B%7B%286-25%29%286-5%29%3C0\"
\n" ); document.write( "\"-19%281%29%3C0\"
\n" ); document.write( "\"-19%3C0\"
\n" ); document.write( "True.
\n" ); document.write( "\"B%3E25\"
\n" ); document.write( "\"B=26%7D%7D%0D%0A%7B%7B%7B%2826-25%29%2826-5%29%3C0\"
\n" ); document.write( "\"1%2821%29%3C0\"
\n" ); document.write( "\"21%3C0\"
\n" ); document.write( "False.
\n" ); document.write( "So then,
\n" ); document.write( "\"5%3CB%3C25\"
\n" ); document.write( "which then leads to
\n" ); document.write( "\"5%3C30-A%3C25\"
\n" ); document.write( "\"-25%3C-A%3C-5\"
\n" ); document.write( "\"25%3CA%3C5\"
\n" ); document.write( "or
\n" ); document.write( "\"5%3CA%3C25\"
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