Discrete Math Computer Applications Question

1-Construct a truth table for each of these compound propositions.

1. pq
2. b) p<->q

c) (pq)(pq)

f) (p<->q)<->(p<->q)

2-Show that p<-> q and (pq)(pq) are logically equivalent.

3- Show that p(qr) and q(pr) are logically equivalent.

4- Form the truth table [(pq)(pr)(qr)]r

5- Find the dual of each of these compound propositions.

a) pq

b) p(q(rT))

c) (pq)(qF)