Question: Question 6 Let A = {1, 2, 3, 4, 5, 6} and R be the relation on A defined by a Rb ab. (i) Draw

Question 6 Let A = {1, 2, 3, 4, 5, 6}

Question 6 Let A = {1, 2, 3, 4, 5, 6} and R be the relation on A defined by a Rb ab. (i) Draw the Hasse diagram for representing the partial ordering R on A. (6 marks) (ii) Determine whether the Hasse diagram is a lattice. Explain why if it is not a lattice. If it is a lattice, determine, with explanation, if it is a distributive lattice, bounded lattice, and/or complemented lattice. (7 marks)

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