document.write( "Question 1024844: A triangle has sides 45, 4x, and 2x−4. What is the possible range of x? \n" ); document.write( "

Algebra.Com's Answer #640215 by ikleyn(52818) $\"\"$ $\"About$

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\n" ); document.write( "A triangle has sides 45, 4x, and 2x-4. What is the possible range of x?
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document.write( "In any triangle, each side is shorter than the sum of two other sides.\r\n" );
document.write( "It gives three independent inequality\r\n" );
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document.write( "45 < 4x + (2x-4),   (1)\r\n" );
document.write( "4x < 45 + (2x-4),   (2)\r\n" );
document.write( "2x-4 < 45 + 4x.     (3)\r\n" );
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document.write( "From (1),  6x > 45 + 4 = 49    --->  x > .\r\n" );
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document.write( "From (2),  2x < 45 - 4 = 41    --->  x < .\r\n" );
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document.write( "From (3),  2x > -4 - 45 = -49  --->  x > .\r\n" );
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document.write( "Answer.  < x < .\r\n" );
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