4. Use truth tables to determine if each of the following is a tautology, a contradiction, or...

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4. Use truth tables to determine if each of the following is a tautology, a contradiction, or just satisfiable:

a. (p ˅ q) ⇒ ~p ˅ ~q

b. (~p ˄ ~q) ⇒ ~p ˅ ~q

c. (p ˅ q ˅ r) ≡ (p ˅ q) ˄ (p ˅ r)

d. p ⇒ (p ˅ q)

e. p ≡ p ˅ q

f. (p ↓ q) (p ↑ q) // consult exercises 2 and 3.

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