document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156622>Question 1156622</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find C'.\r<BR>\n" );
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document.write( "Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}<BR>\n" );
document.write( "Let B = {vanilla, hot fudge, sprinkles, whipped cream}<BR>\n" );
document.write( "Let C = {chocolate, hot fudge, peanuts, whipped cream}<BR>\n" );
document.write( "___________________________________________________________________________The options are:<BR>\n" );
document.write( "A)  {vanilla, strawberries, sprinkles}<BR>\n" );
document.write( "B)  {chocolate, hot fudge, peanuts, whipped cream}<BR>\n" );
document.write( "C)  {vanilla, hot fudge, sprinkles, whipped cream}<BR>\n" );
document.write( "D)  {chocolate, strawberries, sprinkles} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779386 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=779386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer:<font color=red>Choice A</font><BR>\n" );
document.write( "<font color=red>{vanilla, strawberries, sprinkles}</font>\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "The universal set is<BR>\n" );
document.write( "U = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}<BR>\n" );
document.write( "which represents all of the possible choices for flavors and toppings\r<BR>\n" );
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document.write( "Set C is given to be<BR>\n" );
document.write( "C = {chocolate, hot fudge, peanuts, whipped cream}\r<BR>\n" );
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document.write( "The set C' is the complement of set C. It is the complete opposite of set C. Whatever is in C will not be in C', and vice versa. \r<BR>\n" );
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document.write( "What I would do is start with the universal set <BR>\n" );
document.write( "U = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}<BR>\n" );
document.write( "then cross out everything you find in set C. So we'll cross off chocolate, hot fudge, peanuts, whipped cream\r<BR>\n" );
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document.write( "{vanilla, <s>chocolate</s>, <s>hot fudge</s>, strawberries, sprinkles, <s>peanuts</s>, <s>whipped cream</s>}\r<BR>\n" );
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document.write( "What we're left with is<BR>\n" );
document.write( "<font color=red>{vanilla, strawberries, sprinkles}</font><BR>\n" );
document.write( "which is the set C'\r<BR>\n" );
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document.write( "Effectively you can think of it as two friends such that their choices are polar opposites of one another. Friend #1 picks a dish that is chocolate covered in hot fudge, peanuts and whipped cream. This is represented by set C. On the other side of the spectrum, friend #2 goes with vanilla ice cream with strawberries and sprinkles as toppings. This is represented by set C'.<BR>\n" );
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