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2. (30 points) Show that each of the following propositions is a tautology using two different methods: (i) with truth tables (5 points each); (ii)
2. (30 points) Show that each of the following propositions is a tautology using two different methods: (i) with truth tables (5 points each); (ii) propositional equivalences without truth tables (10 points each). a. [p(pq)]q b. [(pq)(pr)(qr)]r
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