document.write( "Question 476572: its all about non linear inequalities. (x-5)(x-4) is greater than or equal to 0. \n" ); document.write( "
Algebra.Com's Answer #852415 by AnlytcPhil(1810)\"\" \"About 
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document.write( "The expression (x-5)(x-4) is a quadratic with two zeros, 4 and 5.\r\n" );
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document.write( "So there are three open intervals to test on each side of and between\r\n" );
document.write( "the two zeros to determine whether on them the expression is always \r\n" );
document.write( "greater than or always less than 0.\r\n" );
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document.write( "Choose easiest test point x=0 on \"%28matrix%281%2C3%2C-infinity%2C%22%2C%22%2C4%29%29\"\r\n" );
document.write( "(0-5)(0-4) = 20 Thus the expression is greater \r\n" );
document.write( "than 0 on this interval.  So we will use it with the zero 4\r\n" );
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document.write( "Choose easiest test point x=4.5 on \"%28matrix%281%2C3%2C4%2C%22%2C%22%2C5%29%29\"\r\n" );
document.write( "(4.5-5)(4.5-4) = -0.25 Thus the expression is less \r\n" );
document.write( "than 0 on this interval.  Thus we will not use it.\r\n" );
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document.write( "Choose easiest test point x=6 on \"%28matrix%281%2C3%2C5%2C%22%2C%22%2Cinfinity%29%29\"\r\n" );
document.write( "(6-5)(6-4) = 2 Thus the expression is greater \r\n" );
document.write( "than 0 on this interval.  So we will use it with the zero 5\r\n" );
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document.write( "Answer: The expression is greater than 0 on \r\n" );
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document.write( "Edwin
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