document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074955>Question 1074955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following table represents the operation # on the set G = {a, b, c, d} <BR>\n" );
document.write( "#	a	b 	c	d<BR>\n" );
document.write( "a	a	b	c	d<BR>\n" );
document.write( "b	b	c	d	a<BR>\n" );
document.write( "c	c	d	a	b<BR>\n" );
document.write( "d	d	a	b	c\r<BR>\n" );
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document.write( "A.  Explain why the set G is closed under the operation #. <BR>\n" );
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document.write( "B.  Explain why a is the identity element for #. <BR>\n" );
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document.write( "C.  Verify two cases of the commutative property.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689666 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A. The output of the operation is contained in G.<BR>\n" );
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document.write( "B. Because<BR>\n" );
document.write( "a#a=a#a=a<BR>\n" );
document.write( "a#b=b#a=b<BR>\n" );
document.write( "a#c=c#a=c<BR>\n" );
document.write( "a#d=d#a=d<BR>\n" );
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document.write( "C. b#c=d<BR>\n" );
document.write( "c#b=d<BR>\n" );
document.write( "So b#c=c#b.<BR>\n" );
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document.write( "You can do the other case. <BR>\n" );
document.write( "Just look for any other combination but don't use a in the operation since it's the identity element. </SPAN>\n" );
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