Question

1. Let p, q, r be propositions have truth values False, False and True respectively. Determine the
truth value of each of the following prepositions.
(a) p =⇒ (q ∨ r)
(b) [¬(p ∨ q)] ⇐⇒ [(¬p) ∧ (¬q)]
(c) [p =⇒ (q ∨ r)] ⇐⇒ [(p ∧ (¬q) =⇒ r]
2. (a) Suppose the truth value of the proposition p =⇒ q is True. What can be said about the
truth value of p ∧ q ⇐⇒ p ∨ q
(b) Suppose the truth value of the proposition p ⇐⇒ q is True. What can be said about the
truth values of p ⇐⇒ ¬p and ¬p ⇐⇒ q
3. If p, q and r are proposition, determine the following compound statements are tautology, contradiction
or neither.
(a) [(p ⇒ q) ∧ (q ⇒ r)] ⇒ (p ⇒ r) (b) (p ∧ ¬q) ∧ (p ∧ q)

Answer 1

Answer:

Hi good afternoon bro how are you doing

Answer 2

Answer:

I don't know that answers