For each relation, indicate whether the relation is: • Reﬂexive, anti-reﬂexive, or neither • Symmetric, anti-symmetric, or neither • Transitive or not transitive Justify your answer.
(a) The domain of the relation L is the set of all real numbers. For x, y ∈ R, xLy if x < y.
(b) The domain of the relation A is the set of all real numbers. xAy if|x−y|≤ 2
(c) The domain of the relation Z is the set of all real numbers. xZy if y = 2x
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