SOLUTION: Verify the following if and only if statements using truth tables:
1) ~ (P ^ Q) <=> (~P) V (~Q)
2) ~( P<=>Q) <=> P ^ ~(Q)
Algebra ->
Conjunction
-> SOLUTION: Verify the following if and only if statements using truth tables:
1) ~ (P ^ Q) <=> (~P) V (~Q)
2) ~( P<=>Q) <=> P ^ ~(Q)
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Question 934684: Verify the following if and only if statements using truth tables:
1) ~ (P ^ Q) <=> (~P) V (~Q)
2) ~( P<=>Q) <=> P ^ ~(Q) Answer by ptfile(81) (Show Source):
p q ~p ~q (P^Q) (P)V(Q) ~(P^Q) (~P)V(~Q) ~(P^Q)<=>(~P)V(~Q)
T T F F T T F F T
T F F T F T T T T
F T T F F T T T T
F F T T F F T T T
p q ~q (P<=>Q) P^(Q) ~(P<=>Q) P^~(Q) ~(P<=>Q)<=>P^~(Q)
T T F T T F F T
T F T F F T T T
F T F F F T F F
F F T T F F F T
