document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050795>Question 1050795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good morning sir's and ma'ams..Kindly help me answer the following:<BR>\n" );
document.write( "Construct a formal proof of validity for each argument..<BR>\n" );
document.write( "1. A => B<BR>\n" );
document.write( "   A v (C ^ D)<BR>\n" );
document.write( "  -B ^ -E<BR>\n" );
document.write( "   Therefore C.<BR>\n" );
document.write( "2. W => X<BR>\n" );
document.write( "  (W ^ X)=>Y<BR>\n" );
document.write( "  (W ^ Y)=>Z<BR>\n" );
document.write( "   Therefore W => Z. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666424 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will do #1 only.  I leave the second to you.\r<BR>\n" );
document.write( "\n" );
document.write( "1. A v (C ^ D)-------------hypothesis<BR>\n" );
document.write( "2. (A v C) ^ (A v D)-------distributivity<BR>\n" );
document.write( "3. A v C ------------------simplification<BR>\n" );
document.write( "4. A-> B -----------------hypothesis<BR>\n" );
document.write( "5. ~B -> ~A ---------------contrapositive of #4<BR>\n" );
document.write( "6. ~B ^ ~E ---------------hypothesis<BR>\n" );
document.write( "7. ~B  -------------------simplification<BR>\n" );
document.write( "8. ~A  -------------------modus ponens from #5 and #7<BR>\n" );
document.write( "9. C ---------------------disjunctive syllogism from #3 and #8<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );