document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=483383>Question 483383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine if the argument is valid or invalid. give a reason to justify answer.<BR>\n" );
document.write( "if im hungry then i will eat<BR>\n" );
document.write( "im not hungry<BR>\n" );
document.write( "i will not eat.\r<BR>\n" );
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document.write( "A)valid by the law of detachment<BR>\n" );
document.write( "B)valid by the law of contraposition<BR>\n" );
document.write( "C)invalid by fallacy of the converse<BR>\n" );
document.write( "D)invalid by fallacy of the inverse<BR>\n" );
document.write( "E)valid by the lay of syllogism </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330814 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330814\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the statement is:<BR>\n" );
document.write( "if i am hungry then i will eat<BR>\n" );
document.write( "the inverse of that statement is:<BR>\n" );
document.write( "if i am not hungry then i will not eat.<BR>\n" );
document.write( "the converse of that statement is:<BR>\n" );
document.write( "if i will eat, then i am hungry.<BR>\n" );
document.write( "the contra-positive of that statement is:<BR>\n" );
document.write( "if i do not eat, then i am not hungry.\r<BR>\n" );
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document.write( "we can translate those statements into logic symbols and variables.\r<BR>\n" );
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document.write( "we let p = i am hungry<BR>\n" );
document.write( "we let q = i will eat\r<BR>\n" );
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document.write( "if i am hungry then i will eat translates to p->q<BR>\n" );
document.write( "if i am not hungry then i will not eat translates to ~p->~q<BR>\n" );
document.write( "if i eat, then i am hungry translates to q->p<BR>\n" );
document.write( "if i don't eat, then i am not hungry translates to ~q->~p\r<BR>\n" );
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document.write( "the general rule is:<BR>\n" );
document.write( "p->q is the statement.<BR>\n" );
document.write( "~p->~q is the inverse.<BR>\n" );
document.write( "q->p is the converse.<BR>\n" );
document.write( "~q->~p is the contra-positive.\r<BR>\n" );
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document.write( "the statement and the contra-positive are equivalent.  if the statement is true, then the contra-positive is also true.<BR>\n" );
document.write( "the inverse and the converse are equivalent.  if the inverse is true, then the converse is also true.\r<BR>\n" );
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document.write( "the statement and the converse are not equivalent.  sometimes the converse is true when the statement is true and sometimes it's not.<BR>\n" );
document.write( "the statement and the inverse are not equivalent.   sometimes the inverse is true when the statement is true and sometimes it's not.\r<BR>\n" );
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document.write( "the original statement is:<BR>\n" );
document.write( "if i am hungry then i will eat<BR>\n" );
document.write( "the statement you are asked to analyze is:<BR>\n" );
document.write( "if i am not hungry then i will not eat.<BR>\n" );
document.write( "that's the inverse of the statement and it is not true by the fallacy of the inverse.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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