document.write( "Question 1064462: Which operations is the following set closed under: {... , -3, -1, 1, 3, ...}?\r
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Algebra.Com's Answer #679508 by Edwin McCravy(20059) $\"\"$ $\"About$

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{... , -3, -1, 1, 3, ...}
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document.write( "That's the set of all odd integers.\r\n" );
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document.write( "Since an odd integer times an odd integer is an odd integer,\r\n" );
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document.write( "The set is closed under multiplication (but not addition, subtraction,\r\n" );
document.write( "or division)\r\n" );
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document.write( "Of course there are some other contrived operations for which it is\r\n" );
document.write( "closed, such as the \"heart operation\" ♥, \"raising to the \r\n" );
document.write( "absolute value of a power\"  defined by \r\n" );
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document.write( "x ♥ y = x^|y|   \r\n" );
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document.write( "Edwin

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