Question

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(p → q) ∧ ∼ r

Answer 1

Truth values of p and q are T and truth values of r and s are F.

(p → q) ∧ (∼ r) ≡ (T → T) ∧ (∼ F)
                         ≡ T ∧ T ≡ T
Hence the truth value of the given statement is true.