document.write( "Question 760899: Complete the following proofs using the Conditional Proof method.\r
\n" ); document.write( "\n" ); document.write( "1) 1. ~(P ∙ ~Q)
\n" ); document.write( "2. ~P → ~R
\n" ); document.write( "3. (R ∙ Q) → S / R → S
\n" ); document.write( "______________________\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2) 1. (P ∙ Q) v (R ∙ S)
\n" ); document.write( "2. R → L / ~P → L
\n" ); document.write( "____________________\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Complete the following proofs using the Indirect Proof method.\r
\n" ); document.write( "\n" ); document.write( "3) 1. A → B
\n" ); document.write( "2. A → C
\n" ); document.write( "3. ~B v ~C / ~A
\n" ); document.write( "_______________\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4) 1. M v (O ∙ ~N)
\n" ); document.write( "2. ~M v ~N / ~N
\n" ); document.write( "______________
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #462939 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\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( " \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( "

		To Show
1.		Premise
2.		Premise
3.		Premise
4.	Suppose R	Assumption
5.		2,4 Modus Tollens
6.		1 DeMorgan
7.		6 Equivalent
8.		6,7 hypothetical syllogism
9.		4,8 Modus Ponens
10.		4, 9 Conjunction
12.		Simplification

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "

\n" ); document.write( "Egw to Beta kai to Sigma
\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "

$\"The$

\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

\n" );