If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following. (p ∧ q) → ∼ p.

QUESTION

Miscellaneous Exercise 1 | Q 4.09 | Page 32

If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

(p ∧ q) → ∼ p.

SOLUTION

(p ∧ q) → ∼ p ≡ (T ∧ T) → ∼ T 

≡ T  → F

≡ F.

Hence, truth value is F.