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up vote 0 down vote favorite The relation R on the set ℤ is defined by the rule R = {(x,y) ∈ ℤ : xy+y is even}. For example: (5,3) ∈ ℤ, and (3,5)∈ ℤ, both would be even so this would be symmetric. For a counterexample: (3,4) ∈ ℤ but (4,3) would not be an element of the set since 4(3)+3= 15, so this example would be anti-symmetric. Would that mean neither is the answer since it has symmetric and anti-symmetric examples? discrete-mathematics share | cite | improve this question asked Nov 19 at 20:21 happysaint 6 2