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solve and explain why Problem 1: Let A be a non-empty set. Which of the properties reflexive, irreflexive, symmetric, asymmetric, antisymmetric, transitive and total do

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solve and explain why

Problem 1: Let A be a non-empty set. Which of the properties reflexive, irreflexive, symmetric, asymmetric, antisymmetric, transitive and total do the following binary relations on A have: (a) (no two elements form A are related to each other) (b) {(a,b):a,bA,a/=b} (every two different elements from A are related to each other) (c) {(a,a):aA} (each element is related to itself and is not related to any other element)

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