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

 EXERCISE 1.4Q 3.4    PAGE 11

Exercise 1.4 | Q 3.4 | 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) ↔ ~(p ∨ q)

SOLUTION

(p → q) ↔ ~(p ∨ q) ≡ (T → T) ↔ (T ∨ T)

≡ T ↔ ~ T

≡ T ↔ F

≡ F

Hence, truth value if F.