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A-G 2. Let R be a partial order relation on set ((1),(2),(3), (4),(12),(3.4),(1,2,3), 123,4) such that (x,Y) E R if and only if X SY.

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A-G

2. Let R be a partial order relation on set ((1),(2),(3), (4),(12),(3.4),(1,2,3), 123,4) such that (x,Y) E R if and only if X SY. a. (5 pt.) Show that R is a partial order relation by determining its properties. b. (5 pt.) Draw a Hasse diagram for R. c. (1 pt.) Find all the maximal elements of R. d. (1 pt.) Find all the minimal elements of AR e. (1 pt.) Find a pair of comparable elements in R f. (1 pt.) Find a pair of incomparable elements in R. g. (1 pt.) Is R a total order

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