document.write( "Question 256379: For how many integer values of x does there exist a triangle whose sides have
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Algebra.Com's Answer #188490 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "In any triangle, the sum of any two sides must be greater\r\n" );
document.write( "than the third side.\r\n" );
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document.write( "That is, these three inequalities must hold:\r\n" );
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document.write( "The third inequality is bound to hold, since regardless\r\n" );
document.write( "of what positive integer x is the left side is larger\r\n" );
document.write( "than 5 so obviously it's larger than .\r\n" );
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document.write( "So we only need to concentrate on the first two inequalities.\r\n" );
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document.write( "The first inequality abounts to  and the second\r\n" );
document.write( "inequality, when solved for x amounts to .\r\n" );
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document.write( "Thus x is an integer such that  and the only\r\n" );
document.write( "integers between 2.5 and 7.5 are 3,4,5,6,and 7.\r\n" );
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document.write( "So those are the only integers x can take on.  The answer is 5.\r\n" );
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document.write( "Edwin

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