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

EXERCISE 1.4Q 3.2    PAGE 11

Exercise 1.4 | Q 3.2 | 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 ∧ s)

SOLUTION

(p → q) ∨ (r ∧ s) ≡ (T → T) ∨ (F ∧ F) 

≡ T ∨ F

≡ T
Hence, truth value if T.