document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=76566>Question 76566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assume P = FALSE, Q = TRUE, and R = FALSE.<BR>\n" );
document.write( "Determine the truth of the following statements.\r<BR>\n" );
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document.write( "Problem  [q &#8594; ~ (r &#8744; p)]&#8596; (p &#8594; ~ r )<BR>\n" );
document.write( "A. True B. False\r<BR>\n" );
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document.write( "Problem  (~ r &#8744; ~ q) &#8743; (~ p &#8594; r )<BR>\n" );
document.write( "A. True B. False </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54913 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=54913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #1<BR>\n" );
document.write( "[q &#8594; ~ (r &#8744; p)]&#8596; (p &#8594; ~ r )<BR>\n" );
document.write( "[TRUE &#8594; ~ (FALSE &#8744; FALSE)]&#8596; (FALSE &#8594; ~ FALSE ) Input given  truth values<BR>\n" );
document.write( "[TRUE &#8594; ~ (FALSE)]&#8596; (FALSE &#8594; TRUE ) Negate the far left truth value and evaluate the disjunction on the right<BR>\n" );
document.write( "[TRUE]&#8596; (TRUE)Evaluate the implications<BR>\n" );
document.write( "TRUE\r<BR>\n" );
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document.write( "So the answer is A\r<BR>\n" );
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document.write( "#2<BR>\n" );
document.write( "(~ r &#8744; ~ q) &#8743; (~ p &#8594; r )<BR>\n" );
document.write( "(~ FALSE &#8744; ~ TRUE) &#8743; (~ FALSE &#8594; FALSE )Input given  truth values<BR>\n" );
document.write( "(TRUE &#8744; FALSE) &#8743; (TRUE &#8594; FALSE )Negate<BR>\n" );
document.write( "(TRUE) &#8743; (FALSE )Evaluate the disjunction and the implication<BR>\n" );
document.write( "FALSE\r<BR>\n" );
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document.write( "So the answer is B </SPAN>\n" );
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