Engineering
Mathematics
Logical Operator Reasoning AND and OR
Algebra of Statements
Question

If the truth value of the statement p → (~ q ∨ r) is false (F), then the truth values of the statements p, q, r are respectively

F, T, T

T, T, F

T, F, F

T, F, T

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Solution

P→(~ q ∨ r )

~ p ∨ (~ q ) r )

~p→F~q→F~r→F}⇒p→Tq→Tr→F}