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Which statement about the Identity Relation is correct?

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Question

Which statement about the Identity Relation is correct?

Options

  • It never contains self-pairs and is never reflexive.

  • It contains every possible ordered pair and is always universal.

  • It contains only reverse pairs and is always symmetric.

  • It always contains all self-pairs and is always reflexive.

MCQ
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Solution

The Identity Relation contains \((a,a)\) for every \(a\in A\). Since all self-pairs are present, it is always reflexive.

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