All basketball players in a team form a set A. T is the relation defined on A as follows: for all x, y ϵ A, x T y <-> x is not the same height as y.
Show whether T is reflexive, symmetric, or transitive.
Show whether T is an equivalence relation.
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Reflexivity:x T x <=> x is not the same height as x FALSE (because x always has the same height with respect to himself). Hence the relation T is not reflexive...
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