Question

Given 'p' and 'q' as true and 'r' as false, the truth values of p v (q ∧ ~r) and (p → r) ∧ q are respectively

Options

• T, F

• F, F

• T, T

• F, T

Answer 1

T, F

Explanation:

p v (q ∧ ~r)

≡ T v (T ∧ ~ F)

≡ T v  (T ∧ T)

≡ T v T

≡  T

(p → r) ∧ q

≡ (T → F) ∧ T

≡ F ∧ T

≡ F