document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442965>Question 442965</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Write the statement in symbols using the p and q given below. Then construct a truth table for the symbolic statement and select the best match.<BR>\n" );
document.write( "p = I eat too much\r<BR>\n" );
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document.write( "q = I'll exercise.\r<BR>\n" );
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document.write( "I'll exercise if I eat too much. (Points : 5) \r<BR>\n" );
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document.write( "Mutiple Choice\r<BR>\n" );
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document.write( "1.) q right pointed arrow p\r<BR>\n" );
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document.write( "p     q     q right pointed arrow p\r<BR>\n" );
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document.write( "T     T             T<BR>\n" );
document.write( "T     F             T <BR>\n" );
document.write( "F     T             F<BR>\n" );
document.write( "F     F             T\r<BR>\n" );
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document.write( "2.) P right pointed arrow and q\r<BR>\n" );
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document.write( "p     q     p right pointed arrow and q\r<BR>\n" );
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document.write( "T     T             F<BR>\n" );
document.write( "T     F             T<BR>\n" );
document.write( "F     T             F<BR>\n" );
document.write( "F     F             F\r<BR>\n" );
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document.write( "3.) q right pointed arrow and p\r<BR>\n" );
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document.write( "p    q      q and right pointed arrow and p   \r<BR>\n" );
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document.write( "T     T              F<BR>\n" );
document.write( "T     F              T<BR>\n" );
document.write( "F     T              T<BR>\n" );
document.write( "F     F              T\r<BR>\n" );
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document.write( "4.) p right pointed arrow and q\r<BR>\n" );
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document.write( "p     q       q and right pointed arrow q<BR>\n" );
document.write( "T     T              T<BR>\n" );
document.write( "T     F              F<BR>\n" );
document.write( "F     T              T<BR>\n" );
document.write( "F     F              F\r<BR>\n" );
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document.write( "Please indicate which is correct, 1,2,3 or 4.          </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305533 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll exercise if I eat too much.\r<BR>\n" );
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document.write( "You can rewrite this as: \"If I eat too much, then I'll exercise.\"\r<BR>\n" );
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document.write( "This means p -> q.\r<BR>\n" );
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document.write( "To elaborate:\r<BR>\n" );
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document.write( "By saying this you are saying if p happens, then q will happen\r<BR>\n" );
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document.write( "That is to say, p implies q, which is usually stated as p -> q.\r<BR>\n" );
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document.write( "To construct a truth table:\r<BR>\n" );
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document.write( "p  q  p->q\r<BR>\n" );
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document.write( "T  T   T<BR>\n" );
document.write( "T  F   F<BR>\n" );
document.write( "F  T   T<BR>\n" );
document.write( "F  F   T\r<BR>\n" );
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document.write( "It may be weird to think that a false statement implying a true statement is a truth. But consider this statement.\r<BR>\n" );
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document.write( "If it rains, I'm going to sleep all day.\r<BR>\n" );
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document.write( "So if it rains, and then I sleep all day, it's true.<BR>\n" );
document.write( "If it it rains, and then I don't sleep all day, I've lied. It's false.<BR>\n" );
document.write( "Now what if it doesn't rain? I never said anything about that. No matter what I do, you can't prove that I lied.  So, the condition is always true if the initial condition is false.<BR>\n" );
document.write( "so F->T = T    F->F = T.\r<BR>\n" );
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document.write( "The truth table should be:\r<BR>\n" );
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document.write( "p  q  p->q\r<BR>\n" );
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document.write( "T  T   T<BR>\n" );
document.write( "T  F   F<BR>\n" );
document.write( "F  T   T<BR>\n" );
document.write( "F  F   T\r<BR>\n" );
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document.write( "It seems that #4 is close, make sure you don't have a typo.\r<BR>\n" );
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document.write( "I think #4 is your answer, you just didn't type a T in that last spot.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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