Question

If statements p, q are true and r, s are false, determine the truth values of the following.

~ p ∧ (q ∨ ~ r)

Answer 1

~ p ∧ (q ∨ ~ r)

≡ ∼T ∧ (T ∨ ∼ F)

≡ F ∧ (T ∨ T)

≡ F ∧ T

≡ F

∴ Truth value of ~ p ∧ (q ∨ ~ r) is F