Incorrect Answer.
Very often, it is best to find out whether it is possible for the formula in
question to evaluate to F. In this case, the formula
(
p
r)
(p
r) is an implication,
so it can only evaluate to F if its premise
(
p
r)
evaluates to T and its conclusion (p
r) evaluates to F. Since the latter is a
disjunction, this can only happen if both disjuncts p and
r evaluate to F, i.e. if p gets assigned F and r gets
assigned T. You can readily verify that the formula evaluates to F under
this valuation (why do you still have to verify that?).
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