Answer:
E
Explanation:
In the picture attached, the Truth Table for the operator “OR” is shown. With it we can compute the next table:
p q ∧ r p ∨ (q ∧ r)
T T T
T F T
F T T
F F F
We want that p would be false and p ∨ (q ∧ r) would be true, which corresponds to the third row of the previous table.
The only row from the table of the question that satisfies this criterion is row E.