document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261282>Question 261282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I made a mistake in posting my original problem sorry..here is the correct one\r<BR>\n" );
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document.write( "Given p is true, q is true, and r is false. find the truth value of the statement: ~p -> (q v ~ r)\r<BR>\n" );
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document.write( "Show step by step work so I can use as example for other problems...\r<BR>\n" );
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document.write( "Thanks in advance soooo much.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192480 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=192480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some things to remember:\r<BR>\n" );
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document.write( "1) ~p is the opposite of p. So if p is true, then ~p is false (or vice versa).\r<BR>\n" );
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document.write( "2) p v q is true when either p or q is true (or both are true)\r<BR>\n" );
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document.write( "3) p -> q is only false when p is true, but q is false. Otherwise, it is true.\r<BR>\n" );
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document.write( "~p -> (q v ~ r)  ... Start with the given compound statement\r<BR>\n" );
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document.write( "~T -> (T v ~ F)  ... Plug in T for p (true), T for q (true), and F for r (false)\r<BR>\n" );
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document.write( "F -> (T v T) ... Evaluate ~T to get F. Evaluate ~F to get T\r<BR>\n" );
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document.write( "F -> T ... Evaluate T v T to get T\r<BR>\n" );
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document.write( "T ... Evaluate F -> T to get T\r<BR>\n" );
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document.write( "So ~p -> (q v ~ r) is true when p is true, q is true, and r is false </SPAN>\n" );
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