Asked by Hesdy
How to provr with a truth table that
"Neither A nor B is lying"
"Neither A nor B is lying"
Answers
Answered by
MathMate
p="A is lying"
q="B is lying".
~p ∧ ~q = "A is not lying" and "B is not lying"
≡ "neither A nor B is lying"
Make a table for p,q, ~p, ~q, ~p∧~q
p q ~p ~q ~p∧~q
T T F F F
T F F T F
F T T F F
F F T T T
The first two columns together with the last column represents the truth table for ~p ∧ ~q.
q="B is lying".
~p ∧ ~q = "A is not lying" and "B is not lying"
≡ "neither A nor B is lying"
Make a table for p,q, ~p, ~q, ~p∧~q
p q ~p ~q ~p∧~q
T T F F F
T F F T F
F T T F F
F F T T T
The first two columns together with the last column represents the truth table for ~p ∧ ~q.
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