document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=574769>Question 574769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the following sets are closed under multiplication:<BR>\n" );
document.write( "a. {0}<BR>\n" );
document.write( "b. {1, 3, 5, 7, 9,...}<BR>\n" );
document.write( "c.  {0, 1, 2} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #369274 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=369274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine if the following sets are closed under multiplication:<BR>\n" );
document.write( "a. {0}<BR>\n" );
document.write( "0*0 = 0 ; closed under multiplication<BR>\n" );
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document.write( "b. {1, 3, 5, 7, 9,...}<BR>\n" );
document.write( "The product of any 2 odd numbers is an odd number: true<BR>\n" );
document.write( "So closed under multiplication.<BR>\n" );
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document.write( "c. {0, 1, 2}<BR>\n" );
document.write( "0*0 or 1 or 2 is 0<BR>\n" );
document.write( "1*0 = 0 ; 1*1 = 1 ; but 2*2 = 4<BR>\n" );
document.write( "Not closed under multiplication.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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