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Standard XII

Mathematics

Transitive Relations

Is inclusion ...

Question

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

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Solution

The relation in reference is not symmetric as $A \subset B$ not imply $B \subset A .$

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With reference to a universal set, the inclusion of a subset in another, is relation, which is

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

The relation in reference is not symmetric as A⊂B not imply B⊂A.

The relation in reference is not symmetric as $A \subset B$ not imply $B \subset A .$