document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196070>Question 1196070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ≡ Mod 2 ∩ ≡ Mod 3 Is an equivalent relation on Z?<BR>\n" );
document.write( "≡ Mod 2 ∪ ≡ Mod 3 Is an equivalent relation on Z?\r<BR>\n" );
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document.write( "I think <BR>\n" );
document.write( "≡ 2 ∩ ≡ 3 it is.<BR>\n" );
document.write( "≡ 2 ∩ ≡ 3 = ≡6, and ≡6 it's an equivalent relation on Z.\r<BR>\n" );
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document.write( "but I don't understand ≡2 ∪ ≡3 please explain. Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828757 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52814)</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=828757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "≡ Mod 2 ∩ ≡ Mod 3 Is an equivalent relation on Z?\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Wording in your post is strange and incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The correct wording for the first part question would be\r<BR>\n" );
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document.write( "                    ≡ Mod 2 ∩ ≡ Mod 3 is equivalent to which relation on Z?\r\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In my post, I will answer part 1 in this formulation.\r<BR>\n" );
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document.write( "Relation  ≡ Mod 2 ∩ ≡ Mod 3  is equivalent to relation  ≡ Mod 6.\r\n" );
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document.write( "In human language, those integers that are multiple of 2 and are multiple of 3 simultaneously are those and only those that are multiple of 6.\r\n" );
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document.write( "Part 1 is complete.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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