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Describe its equivalence classes

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Reference no: EM131247263

Determine whether the following binary relations are reflexive, symmetric, antisymmetric and transitive:

a. xRy ⇔ xy ≥ 0 ∀x, y in the set R

b. xRy ⇔ x > y ∀x, y in the set R

c. xRy ⇔ |x| = |y| ∀x, y in the set R

For each of the above, indicate whether it is an equivalence relation or a partial order. If it is a partial order, indicate whether it is a total order. If it is an equivalence relation, describe its equivalence classes.

Reference no: EM131247263

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