document.write( "Question 626150: PLEASE HELP ME~ Construct a truth table for the following \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "∼(∼p ∨ ∼q)\r
\n" ); document.write( "\n" ); document.write( "*This is what I have-\r
\n" ); document.write( "\n" ); document.write( "P Q ~P ~Q ~PV~Q
\n" ); document.write( "T T F F F
\n" ); document.write( "T F F T T
\n" ); document.write( "F T T F T
\n" ); document.write( "F F T T T\r
\n" ); document.write( "\n" ); document.write( "What is confusing me is ~ outside the (). PLEASE HELP! Am I correct above, What about the ~ outside the () how do I place that into the table!\r
\n" ); document.write( "\n" ); document.write( "THANK YOU~~\r
\n" ); document.write( "\n" ); document.write( "Tiff
\n" ); document.write( "

Algebra.Com's Answer #393999 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You're doing great. You just need to negate everything in the column ~P v ~Q to get the last column ~(~P v ~Q)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Why? This is because ~P is the opposite of P. So if P is true, then ~P is false.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the F in the ~P v ~Q column (in the first row) becomes a T. The T in the second row becomes an F, etc etc. Let me know if this makes sense or not. Thanks.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( "
PQ~P~Q~P v ~Q~(~P v ~Q)
TTFFFT
TFFTTF
FTTFTF
FFTTTF
\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Note: The table above is your original table with new stuff in blue\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------------------------------------------------------------------------------------
\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "--------------------------------------------------------------------------------------------------------------\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );