a) Draw the Hasse diagram of the set S = { {1}, {1,2}, {1,2,3}, {1,2,4}, {1,2,3,4}, {1,2,3,4,5}, {1,2,3,4,6} } partially ordered by inclusion. Identify minimal, maximal, minimum, and maximum elements, if any. Is the set S totally ordered?
b) Consider the set Z/2 of integers modulo 2. A complete set of equivalence class representatives is given by
A. {2,6}
B. {1,3}
C. {1,2}
D. none of the above