Mathematics · Set Theory
Which of the following partially ordered sets is a chain?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1None of the above
- 2(R, ≤), where R is the set of real numbers and for a, b ∈ R, a ≤ b means 'a is less than or equal to b'.✓
- 3(N, ≤), where N is the set of natural numbers and for a, b ∈ N, a ≤ b means 'a divides b'.
- 4(P(S), ⊆), where P(S) is the power set of S and ⊆ is the relation of set inclusion.
Correct answer
(R, ≤), where R is the set of real numbers and for a, b ∈ R, a ≤ b means 'a is less than or equal to b'.
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