document.write( "Question 1207462: Hi there, I'd love some help on answering these Logic Proof Questions: \r
\n" ); document.write( "\n" ); document.write( "1.
\n" ); document.write( "1. T > O
\n" ); document.write( "2. R v ~O
\n" ); document.write( "3. ~R/~T\r
\n" ); document.write( "\n" ); document.write( "2.
\n" ); document.write( "1. (Q ~J) (M ~D)
\n" ); document.write( "2. Q M
\n" ); document.write( "3. M ~J/Q ~D\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3.
\n" ); document.write( "1. T (Q & F)
\n" ); document.write( "2. T & C/Q v O\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4.
\n" ); document.write( "1. F ~U
\n" ); document.write( "2. ~F P
\n" ); document.write( "3. F v ~F/~U v P\r
\n" ); document.write( "\n" ); document.write( "5.
\n" ); document.write( "1. (J v F) v M
\n" ); document.write( "2. (J v M) ~P
\n" ); document.write( "3. ~F/~(F v P)\r
\n" ); document.write( "\n" ); document.write( "6.
\n" ); document.write( "1. (A> B) > (C & D)
\n" ); document.write( "2. C ~D/~A\r
\n" ); document.write( "\n" ); document.write( "7.
\n" ); document.write( "1. (A & B) C
\n" ); document.write( "2. B & ~C/~A\r
\n" ); document.write( "\n" ); document.write( "8.\r
\n" ); document.write( "\n" ); document.write( "1. A v B
\n" ); document.write( "2. A ≡ (C & D)
\n" ); document.write( "3. B \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #845340 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I'll do the first problem to get you started.
\n" ); document.write( "Please post one question at a time. Also, please be careful to make sure that the problem appears exactly as shown in your textbook. Question 2 for instance looks like it's missing some symbols.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "
NumberStatementLine(s) UsedReason
1T > O
2R v ~O
3~R
:.~T
4~O2,3Disjunctive Syllogism
5~T1,4Modus Tollens
\r
\n" ); document.write( "\n" ); document.write( "The Rules of Inference and Rules of Replacement are shown here
\n" ); document.write( "
\n" ); document.write( "
\n" );