R = {(a, b) : b = a + 2} on the set {1, 2, 3, 4, 5}. Is R transitive?
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Answer: B. No, because (1, 3), (3, 5) ∈ R but (1, 5) ∉ R
For transitivity, (1,3) and (3,5) in R would need (1,5) in R, but 5 ≠ 1 + 2.
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