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Unit 1 · Discrete Structures and Optimization Paper 2 CS · December 2022 Shift 2

A relation R is defined on ordered pairs of integers as (x, y) R (u, v) if x < u and y > v. Then R is

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Correct answer: A. Neither a partial order nor an equivalence relation

Explanation

Because the inequalities are strict, (x, y) R (x, y) never holds, so R is not reflexive. A partial order and an equivalence relation both need reflexivity.

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