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Question: problems you will be using truth tables throughout this assignment...

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Problems You will be using truth tables throughout this assignment. Set up the rows of your truth tables as we did in class, and use intermediate columns to build up towards the final statements. 1. Use truth tables to determine if the following statements are tautologies, contradictions, or neit her (a) (p V q)-+ (gA p) (b) (pA ) Λ (p 9) 2. Use truth tables to verify the following logical equivalences (a) -(pAq) ﹁pv-q (De Morgans law) (b) p (an p) Ξ p (absorption law) 3. Use truth tables to determine if the following pairs of statements are logically equivalent (a) (pqpr) 4. The compound statement pq is called erclusive disjunction, and is true if either p or q is true but not both. The logical connective V is called erclusive or (a) Construct a truth table for the exclusive disjunction p q (b) Find a compound statement logically equivalent to the exclusive disjunction pVq which only uses logical connectives introduced during class. Use a truth table to show the statement you found is indeed equivalent to pYq 5. Write the negation, the converse, the inverse, and the contrapositive of the statement: If 3 > π and pigs fly, then v2 = e or it rains.
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