Question 667271: Construct a truth table for the statement. Please show me how you came up with this table. Thank you for your help.
∼(∼p∨∼q)
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
p q ~p ~q ~p ∨ ~q ~(~p ∨ ~q)
T T F F F T
T F F T T F
F T T F T F
F F T T T F
You start by listing TTFF under p, and then TFTF under q. Then apply the rules of negation, conjunction, disjuction, and implication as is appropriate to fill in the rest. For example, in the first row, p is true, so not p is false, and q is true, so not q is false. Disjunction says that false or false is false so not p (false) or not q (false) is false. And the last column is just not false is true.
John
My calculator said it, I believe it, that settles it
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