Question

. Is inclusion of a subset in another, in the context of a
universal set, an equivalence relation in the class of subsets of the sets ? Justify your answer.​

Answer 1

Answer:

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Answer 2

Answer:

condition for the equivalence relation are

It should satisfy two relations

1. reflexive

reflexive 2. symetrical

Let the Universal set -- { a,b,c,_ _ _ z}

every set is a subset of itself so

a is a subset of a

It means it is reflexive relation.

let {a }is a subset of {a,b}

but {a,b} is not a subset of {a}.

Hence it is not an equivalence relation