document.write( "Question 52365: PLEASE HELP
\n" ); document.write( "for the complex numbers z=a +bi and w = c +di, z>w if what is true?\r
\n" ); document.write( "\n" ); document.write( "a) sqrt (a^2 +b^2) > sqrt(c^2 +d^2) were sqrt represents the square root
\n" ); document.write( "b) a> c and b>d
\n" ); document.write( "c) none of these
\n" ); document.write( "d) (a+b) > (c + d) \n" ); document.write( "

Algebra.Com's Answer #34893 by AnlytcPhil(1810) $\"\"$ $\"About$

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PLEASE HELP\r\n" );
document.write( "for the complex numbers z = a+bi and w = c+di,\r\n" );
document.write( "z > w if what is true?\r\n" );
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document.write( "a) sqrt (a^2 +b^2) > sqrt(c^2 +d^2) where sqrt \r\n" );
document.write( "   represents the square root\r\n" );
document.write( "b) a> c and b>d\r\n" );
document.write( "c) none of these\r\n" );
document.write( "d) (a+b) > (c + d)\r\n" );
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document.write( "Since complex numbers are not ordered, i.e., no\r\n" );
document.write( "complex number is considered larger or smaller\r\n" );
document.write( "than any other, then\r\n" );
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document.write( "\"z > w\" \r\n" );
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document.write( "has no meaning, and thus (c) would be the only answer.  \r\n" );
document.write( "However if the problem had absolute value bars around  \r\n" );
document.write( "the z and the w, like this:\r\n" );
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document.write( "|z| > |w|\r\n" );
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document.write( "and you just didn't type them, then the answer is (a)\r\n" );
document.write( "because their absolute values (sometimes called their\r\n" );
document.write( "\"moduli\", singular \"modulus\") are real numbers and real\r\n" );
document.write( "numbers are ordered.     \r\n" );
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document.write( "Edwin

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