SOLUTION: Given a set S = ℝ, prove that a relation R on S where (a , b) ∈ R and a - b = 0 is an equivalence relation.

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Question 1191720: Given a set S = ℝ, prove that a relation R on S where (a , b) ∈ R and a - b = 0 is an equivalence relation.
Answer by Solver92311(821) About Me  (Show Source):
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An equivalence relation is a relation that is Reflexive, Symmetric, and Transitive:

Reflexive: therefore is reflexive.

Symmetric: therefore is symmetric.

Transitive: therefore is transitive.

R is reflexive, symmetric, and transitive, therefore R is an equivalence relation.

John

My calculator said it, I believe it, that settles it

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