If p and q are true and r and s are false, find the truth value of the following compound statement. p ∧ (q ∧ r)

EXERCISE 1.4Q 3.1    PAGE 11

Exercise 1.4 | Q 3.1 | Page 11

If p and q are true and r and s are false, find the truth value of the following compound statement.

p ∧ (q ∧ r)

SOLUTION

p ∧ (q ∧ r) ≡ T ∧ (T ∧ F)

≡ T ∧ F

≡ F

Hence, truth value if F.