document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276705>Question 276705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Determine the truth value of the following statement: <BR>\n" );
document.write( "The Mona Lisa is a famous painting and all even numbers are divisible by 2.<BR>\n" );
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document.write( "        True<BR>\n" );
document.write( "        False\r<BR>\n" );
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document.write( " 2. Construct a truth table for (~p  q)  p\r<BR>\n" );
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document.write( "3. Fill in the heading of the following truth table using any of p, q, &#61566;,  , &#8596;,  , and  . Use keyboard shortcuts of --> for  , <--> for &#8596;, V for  , and ^ for  .\r<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "p	q	_________<BR>\n" );
document.write( "T	T	T<BR>\n" );
document.write( "T	F	F<BR>\n" );
document.write( "F	T	F<BR>\n" );
document.write( "F	F	T\r<BR>\n" );
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document.write( "4. Construct a truth table for q  (p  ~q)\r<BR>\n" );
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document.write( "5. Given p is true, q is true, and r is false, find the truth value of the statement ~q  <BR>\n" );
document.write( "(p  r). <BR>\n" );
document.write( "Show step by step work. Use keyboard shortcuts of --> for  , <--> for &#8596;, V for  , and ^ for  , if needed.\r<BR>\n" );
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document.write( "6. Determine which, if any, of the three statements are equivalent.<BR>\n" );
document.write( "I) If the movie is sold out, then we will not see the movie on opening night.<BR>\n" );
document.write( "II) Either the movie is not sold out or we will not see the movie on opening night.<BR>\n" );
document.write( "III) Either the movie is not sold out or we will see the movie on opening night.<BR>\n" );
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document.write( "        I and II are equivalent <BR>\n" );
document.write( "        I and III are equivalent <BR>\n" );
document.write( "        II and III are equivalent <BR>\n" );
document.write( "        I, II, and III are equivalent <BR>\n" );
document.write( "        None are equivalent <BR>\n" );
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document.write( "7. Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. <BR>\n" );
document.write( "Either the gazebo is made of wood or the vine is growing on the gazebo. <BR>\n" );
document.write( "The gazebo is not made of wood. <BR>\n" );
document.write( " The vine is growing on the gazebo.\r<BR>\n" );
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document.write( "8. Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the week 3, assignment 3 dropbox. \r<BR>\n" );
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document.write( "I) If the house is not white, then the house is not small.<BR>\n" );
document.write( "II) The house is not white and the house is small.<BR>\n" );
document.write( "III) It is false that the house is white or that the house is not small. \r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "a. I, II, and III are equivalent <BR>\n" );
document.write( "b. I and II are equivalent <BR>\n" );
document.write( "c. II and III are equivalent <BR>\n" );
document.write( "d. I and III are equivalent <BR>\n" );
document.write( "e. None are equivalent \r<BR>\n" );
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document.write( "9. Create an Euler diagram to determine whether the syllogism is valid or invalid.<BR>\n" );
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document.write( "All football players run fast. <BR>\n" );
document.write( "Matt runs fast. <BR>\n" );
document.write( " Matt is a football player.<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "10. If the argument below is valid, name which of the four valid forms of argument is represented. If it is not valid, name the fallacy that is represented.<BR>\n" );
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document.write( "If I catch the bus on time, then I am not late to work.<BR>\n" );
document.write( "I caught the bus on time.<BR>\n" );
document.write( "Therefore, I was not late to work.<BR>\n" );
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document.write( "11. Form the converse: If I do not change my car’s oil, then my car will have engine trouble. (Points :3)<BR>\n" );
document.write( "        If I change my car’s oil, then my car will not have engine trouble. <BR>\n" );
document.write( "        If my car does not have engine trouble, then I changed my car’s oil. <BR>\n" );
document.write( "        If my car does not have engine trouble, then I did not change my car’s oil. <BR>\n" );
document.write( "        If my car has engine trouble, then I did not change my car’s oil. <BR>\n" );
document.write( "        If my car has engine trouble, then I changed my car’s oil.<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "12. Write the compound statement in symbols.\r<BR>\n" );
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document.write( "Let <BR>\n" );
document.write( "p = I eat too much.<BR>\n" );
document.write( "q = I will feel too full.<BR>\n" );
document.write( "r = I'll exercise.<BR>\n" );
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document.write( "If I eat too much, and don’t exercise, then I will feel too full. <BR>\n" );
document.write( "        (p  ~r)  q <BR>\n" );
document.write( "        (p  ~r) &#8596; q <BR>\n" );
document.write( "        (p  ~r)  q <BR>\n" );
document.write( "        p  (~r  q)\r<BR>\n" );
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document.write( "  \r<BR>\n" );
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document.write( "13. Construct a truth table for ~(q  p<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201657 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> TIP: If you do not post one question at a time, no one will reply. \r<BR>\n" );
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