document.write( "Question 1011592: Show that the set is infinite by placing it in a one to one correspondence with a proper subset of it self. Give the general term of the original set, and show its pairing with its proper subset {15,17,19,21,23,...} \n" ); document.write( "

Algebra.Com's Answer #627311 by ikleyn(52872) $\"\"$ $\"About$

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\n" ); document.write( "Show that the set is infinite by placing it in a one to one correspondence with a proper subset of it self. Give the general term of the original set, and show its pairing with its proper subset {15,17,19,21,23,...}
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document.write( "This one-to-one correspondence is n <---> n+2.\r\n" );
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document.write( "The set of all odd whole numbers starting from 15 then one-to-one corresponds to its proper subset \r\n" );
document.write( "of all odd whole numbers starting from 17.\r\n" );
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