document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204396>Question 1204396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> INSTRUCTIONS: Use an ordinary truth table to answer the following problems. Construct the truth table as per the instructions in the textbook.\r<BR>\n" );
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document.write( "Given the argument:<BR>\n" );
document.write( "K  ⊃  (M  ∨  ∼ H)  /  M  ⊃  H  /  M  ⊃  K  //  K  ⊃  H\r<BR>\n" );
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document.write( "This argument is:<BR>\n" );
document.write( "Group of answer choices\r<BR>\n" );
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document.write( "Invalid; fails in 1st line.\r<BR>\n" );
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document.write( "Invalid; fails in 2nd line.\r<BR>\n" );
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document.write( "Valid.\r<BR>\n" );
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document.write( "Invalid; fails in 4th line.\r<BR>\n" );
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document.write( "Invalid; fails in 3rd line. </SPAN>\n" );
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document.write( "This is one way to form the truth table. <BR>\n" );
document.write( "There are ways to condense things, but I prefer the more expanded out version to see how each piece is formed.<BR>\n" );
document.write( "Feel free to go with the condensed table if you want.<BR>\n" );
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document.write( "<tr><TD ></TD><TD ></TD><TD ></TD><TD ></TD><TD ></TD><TD >Premise</TD><TD >Premise</TD><TD >Premise</TD><TD >Conclusion</TD></tr><tr><TD >K</TD><TD >M</TD><TD >H</TD><TD >~H</TD><TD >M v ~H</TD><TD >K -> (M v ~H)</TD><TD >M -> H</TD><TD >M -> K</TD><TD >K -> H</TD></tr><tr><TD >T</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD></tr><tr><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD >F</TD></tr><tr><TD >T</TD><TD >F</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD></tr><tr><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD ><font color=red size=4>T</font></TD><TD ><font color=red size=4>T</font></TD><TD ><font color=red size=4>T</font></TD><TD ><font color=red size=4>F</font></TD></tr><tr><TD >F</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >T</TD></tr><tr><TD >F</TD><TD >T</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD></tr><tr><TD >F</TD><TD >F</TD><TD >T</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD></tr><tr><TD >F</TD><TD >F</TD><TD >F</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD><TD >T</TD></tr>\n" );
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document.write( "T = true<BR>\n" );
document.write( "F = false\r<BR>\n" );
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document.write( "Here is a review of various truth table rules<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.algebra.com/algebra/homework/Conjunction/truth-table1.lesson\">https://www.algebra.com/algebra/homework/Conjunction/truth-table1.lesson</a>\r<BR>\n" );
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document.write( "The row I've marked in red, <font color=red>line 4</font>, represents the situation where we have all true premises, but they lead to a false conclusion.<BR>\n" );
document.write( "This happens when: K = true, M = false, H = false\r<BR>\n" );
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document.write( "Because we have all true premises leading to a false conclusion, we have an invalid argument.  \r<BR>\n" );
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document.write( "Answer:  <font color=red size=4>Invalid; fails in 4th line.</font>\r<BR>\n" );
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document.write( "Side note: line 2 comes close but not all premises are true here.\r<BR>\n" );
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document.write( "Another example of an invalid argument is found in problem 3 of this link<BR>\n" );
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