Mathematics · Functions and Relations
Let n be a fixed positive integer. For a, b ∈ &mathbb{Z};, define the relation a R b if and only if a ≡ b (mod n). Which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R is a partial order relation on &mathbb{Z};
- 2R is not a symmetric relation on &mathbb{Z};
- 3R is not a transitive relation on &mathbb{Z};
- 4R is an equivalence relation on &mathbb{Z};✓
Correct answer
R is an equivalence relation on &mathbb{Z};
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