Question: 1. (5 points) Using the logical equivalences proven in class show that (pv qvr) =p -r. 2. (5 points) Using the logical equivalences proven in

1. (5 points) Using the logical equivalences proven in class show

1. (5 points) Using the logical equivalences proven in class show that (pv qvr) =p -r. 2. (5 points) Using the logical equivalences proven in class show that ((pvq) 179) - p is a tautology (is always true). 3. (5 points) Using the logical equivalences proven in class show that ((p vq)^(pvr)) (qvr) is a tautology (is always true). 4. (5 points) Show using set definitions and logical equivalences that PIQ=PnQ. 5. (5 points) Draw Venn diagrams for (Pn) U ( PR) (QAR) and for (PUQ n (PUR) n (QUR), what can you say about these two sets

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