document.write( "Question 1096564: Prove that ||x|-|u|-|y-v|| <= |x-y| + |u-v| \n" ); document.write( "
Algebra.Com's Answer #711844 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "||x|-|u|-|y-v|| <= |x-y| + |u-v|\r\n" );
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document.write( "Sorry, that's not always true because\r\n" );
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document.write( "Let x=2, u=4, y=3, v=5   \r\n" );
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document.write( "\"abs%28abs%28x%29%5E%22%22-abs%28u%29-abs%28y-v%29%29%3C=abs%28x-y%29%2Babs%28u-v%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"abs%28abs%282%29%5E%22%22-abs%284%29-abs%283-5%29%29%3C=abs%282-3%29%2Babs%284-5%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"abs%282%5E%22%22-4-abs%28-2%29%29%3C=abs%28-1%29%2Babs%28-1%29\"\r\n" );
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document.write( "\"abs%282%5E%22%22-4-2%29%3C=1%2B1\"\r\n" );
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document.write( "\"abs%28-4%29%3C=2\"\r\n" );
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document.write( "\"4%3C=2\"\r\n" );
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document.write( "That's false!\r\n" );
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document.write( "Maybe you copied it wrong.  If so, \r\n" );
document.write( "copy it correctly in the thank-you \r\n" );
document.write( "note form below and I'll get back \r\n" );
document.write( "to you by email.\r\n" );
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document.write( "Edwin
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