Mathematics · Relations and Functions

Let R be a relation on a set A and let IA denote the identity relation on A. Then R is antisymmetric if and only if:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1None of the above
2R ∩ R-1 ⊆ IA✓
3R ∪ R-1 ⊆ IA
4R = R-1

Correct answer

R ∩ R-1 ⊆ IA

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Let R be a relation on a set A and let IA denote the identity relation on A. Then R is antisymmetric if and only if:

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Let R be a relation on a set A and let IA denote the identity relation on A. Then R is antisymmetric if and only if:

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