document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208142>Question 1208142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If every element of a set A is also an element of a set B, then we say that A is a subset of B and write A ⊆ B.\r<BR>\n" );
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document.write( "Sample 1\r<BR>\n" );
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document.write( "Set A = { x, y, z }\r<BR>\n" );
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document.write( "Set B = { w, x, y, z }\r<BR>\n" );
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document.write( "I can say that A ⊆ B.\r<BR>\n" );
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document.write( "Sample 2\r<BR>\n" );
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document.write( "Set A = { 1, 2, 3 }\r<BR>\n" );
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document.write( "Set B = { 0, 1, 2, 3, 4, 5 }\r<BR>\n" );
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document.write( "I can say that A ⊆ B.\r<BR>\n" );
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document.write( "You say? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846341 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=846341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Both of your answers are correct.\r<BR>\n" );
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document.write( "It might help to highlight the items of interest.<BR>\n" );
document.write( "A = { <font color=red>x, y, z</font> }<BR>\n" );
document.write( "B = { w, <font color=red>x, y, z</font> }<BR>\n" );
document.write( "which helps confirm that A is indeed a subset of B.<BR>\n" );
document.write( "Anything inside set A is also in set B (but not vice versa).\r<BR>\n" );
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document.write( "Also,<BR>\n" );
document.write( "A = { <font color=red>1, 2, 3</font> }<BR>\n" );
document.write( "B = { 0, <font color=red>1, 2, 3</font>, 4, 5 }<BR>\n" );
document.write( "which is another scenario when A is a subset of B.\r<BR>\n" );
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document.write( "--------------------------------------------------------------------------\r<BR>\n" );
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document.write( "Let's look at another example<BR>\n" );
document.write( "A = {1,2,3}<BR>\n" );
document.write( "B = {1,2,4,5,6}<BR>\n" );
document.write( "Highlight everything in set A. Mark those items in set B (if they exist).<BR>\n" );
document.write( "A = {<font color=red>1,2,3</font>}<BR>\n" );
document.write( "B = {<font color=red>1,2</font>,4,5,6}<BR>\n" );
document.write( "Unfortunately the element \"3\" is not found in set B, so set A isn't a subset of B.<BR>\n" );
document.write( "</font> </SPAN>\n" );
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