Determine the truth value of the statement when P is true, Q is False and R is False.

(p -> ~r ) v (p ^ q)

p -> ~r is T (as T -> T); p^q is F (T^F); the whole expression is T (T \/ F).

~r <-> [(pvq) <-> ~p ]

?

If p is T, q is F, and r is F, then

p\/q is T; ~ p is F; p\/q <--> ~p is F, and ~r <--> [p\/q <--> ~p] is F (T <--> F is F).

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