Question

Let's say we have the following relation defined on the set {0,
1, 2, 3}:

{ (0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3) }

- Please answer the following 3 questions about this relation. (The
relation will be repeated for each question.) Is this relation a
function? Why or why not?

- What are the three properties that must be present in an equivalence relation? Please give the names of the three properties and their definitions.

- Is this relation an equivalence relation? Please examine this relation for all three properties and explain, for each one, why this relation either has, or does not have, the given property.

Answer #1

For first one not a Function

For second one 1)reflexive 2)symmetric 3)transitive

For third one reflexive not holds good

Any queries please comment

Please thumsbup for my effort

Thank you and all the best

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