propositional logic

1. Use truth tables to verify the commutative laws a) p Vaqvp b) phq=q 2. Show that each of these conditional statements is a tautology by using truth tables. a) [-p ^ (p V q)] b) [(p+q)^(q r)] ( pr) 3. Show that (p >r) V (q + r) and (p ^ q) r are logically equivalent. 4. Show that pe )and-pq are logically equivalent