Question: Is (S,R) a poset if S is the set of all people in the world and (a, b) R, where a and b are

Is (S,R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people, if
a) A is taller than b?
b) A is not taller than b?
c) A = b or a is an ancestor of b?
d) A and b have a common friend?

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