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Question:

If p→(¬p∨¬q) is false, then the truth values of p and q are respectively.

T, T

F, F

F, T

T, F

Solution:

pq¬p¬q¬p∨¬qp→(¬p∨¬q)
T T F F F F
T F F T T T
F T T F T T
F F T T T T
It can be seen from the truth table that p→(¬p∨¬q) is false only when p and q both are true. Hence, answer is option (D).