document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167229>Question 1167229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the usual subtraction (if possible) on integers induces a binary operation on non negative integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791874 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52787)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=791874\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "This statement is INVALID.\r<BR>\n" );
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document.write( "It is invalid because when the result of subtraction is negative, it lies outside of the domain of non-negative numbers.\r<BR>\n" );
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document.write( "It contradicts to the definition of a system with binary operations.\r<BR>\n" );
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document.write( "According to the definition of such systems, the operation should be determined over all pairs of elements with\r<BR>\n" );
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document.write( "the final value in the same set as a domain.\r<BR>\n" );
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