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Equivalence Class

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Question

Write the smallest equivalence relation on the set A = {1, 2, 3}.

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Solution

The smallest equivalence relation on the set A = {1, 2, 3} is R = {(1, 1), (2, 2), (3, 3)}

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Q. For the set A = {1, 2, 3}, define a relation R on the set A as follows:
R = {(1, 1), (2, 2), (3, 3), (1, 3)}
Write the ordered pairs to be added to R to make the smallest equivalence relation.

Q. for the set a={1,2,3} a relation r is defined as r={(1,1),(2,2),(3,3),(1,3)}. write the ordered pairs to be added to R to make the smallest equivalence relation.

A = {1, 2, 3}

. Then show that the smallest equivalence relation on

A

{(1, 1), (2, 2), (3, 3)}

Q. The largest equivalence relation on the set A = {1, 2, 3} is ___________________.

Q. The smallest equivalence relation on the set A = {a, b, c, d} is _________________________.

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