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(pre-made sample)
Name _____________________________
Date ___________________
Logic
State the truth value of the following statements.

1.   If p is true and q is false, state the truth for:
(~( p q ))(~ p ~ q )
2.   If p is true and q is false, state the truth for:
(( q p )(~ q p ))(~(~ p ~ q ))
3.   If p is false and q is false, state the truth for:
( p q )(~(~(~ p ~ q )~(~ p ~ q )))
4.   If p is false and q is false, state the truth for:
(~(~ p q ))(~ p ~ q )
5.   If p is false and q is false, state the truth for:
( p ~ q )([~( p q )])
6.   If p is true and q is false, state the truth for:
(( q ~ p )~ q )( p q )
7.   If p is true and q is false, state the truth for:
(~(~ p ~ q ))((~ p q )(~ q p ))
8.   If p is false and q is false, state the truth for:
(~ p ~ q )(~( p q ))
9.   If p is true and q is true, state the truth for:
(~ p ~ q )( p ~ q )
10.   If p is false and q is false, state the truth for:
(~( q ~ p )(~ q ~ p ))(~(~ p q ))
11.   If p is true and q is false, state the truth for:
(~( p (~ q ~ p )))(~( p ( q ~ p )))
12.   If p is true and q is true, state the truth for:
( p q )( p q )
13.   If p is true and q is true, state the truth for:
( p ~ q )( p ~ q )
14.   If p is false and q is true, state the truth for:
(( p q )(~ q p ))(( q p ) q )
15.   If p is false and q is true, state the truth for:
(~ p q )(~( q p )(~ p q ))
16.   If p is true and q is true, state the truth for:
(( p q )(~ p q ))(~(( p ~ q )( q ~ p )))

 

Answer Key

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