Question: Discrete Strcutures/Math Problem 3: Equivalences (20 points) (a) Use a truth table to verify the first De Morgan law:-9) pVry, (b) Use De Morgan's laws

Discrete Strcutures/Math

Discrete Strcutures/Math Problem 3: Equivalences (20 points) (a) Use a truth table

Problem 3: Equivalences (20 points) (a) Use a truth table to verify the first De Morgan law:-9) pVry, (b) Use De Morgan's laws to find the negation of each of the following statements: (1) Jan is rich and happy. (2) Carlos will bicycle or run tomorrow (3) James is young and strong. (4) Rita will move to Oregon or Washington. (c) Determine whether (74 (p is a tautology (d) Show that (q r) and q (pyr) are logically equivalent. (e) Show that-p q) and p q are logically equivalent. (f) Show that (png) r and (p r) (q r) are not logically equivalent

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