Question: 1) [2 marks] Construct a truth table for: (p v (p ))-pvq. 2) [3 marks] Using logical equivalent properties discussed in class, prove 3) [2

 1) [2 marks] Construct a truth table for: (p v (p

1) [2 marks] Construct a truth table for: (p v (p ))-pvq. 2) [3 marks] Using logical equivalent properties discussed in class, prove 3) [2 marks] Use a truth table to verify the associative law: (p v q) vrspv(qvr) 4) [2 marks] Use De Morgan's laws to find the negation of each of the following statements. a) Kwame will take a job in industry or go to graduate school. b) Yoshiko knows Java and calculus. c) James is young and strong. d) Rita will move to Oregon or Washington. 5) 12] prove 6) [4 marks] prove the equivalence the propositions: (p q) ? (p r) p (q /\ r)

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