document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187203>Question 1187203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate the proposition p ^ (~q v r) in words using<BR>\n" );
document.write( "p: I take Discrete Mathematics<BR>\n" );
document.write( "q: I take Java Programming<BR>\n" );
document.write( "r: I take Data Communications </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818145 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=818145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red>I take Discrete Mathematics, and I either do not take Java Programming or I take Data Communications.</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Explanation:<BR>\n" );
document.write( "The (~q v r) means \"~q or r\" where ~q means \"not q\". It's the opposite of whatever q is. If q represents \"I take Java Programming\", then ~q means \"I do not take Java Programming\". As you can see, we simply replace the letters with their sentence counterparts. Think of it like plugging in a number for a variable.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The ^ means \"and\". The notation p ^ (~q v r) means p is the case, and one of the ~q or r is the case or perhaps both of (~q v r) is the case.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here are some other examples:<BR>\n" );
document.write( "p v r = I take Discrete Mathematics or I take Data Communications<BR>\n" );
document.write( "~p ^ q = I do not take Discrete Mathematics and I take Java Programming<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );