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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

Which statement is correct about the set {(n, n + 1) : n ∈ ℕ}?

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Answer and explanation

Correct answer: It is infinite

For every natural number n, the set contains the ordered pair (n, n + 1). Taking n = 1, 2, 3, 4, and so on produces (1,2), (2,3), (3,4), (4,5), and infinitely many further pairs. Different n values give different first coordinates, so no pairs repeat. Hence the set is infinite.

Tags

setsinfinite setordered pairsset-builder formThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

It is infinite

Why is this the correct answer?

For every natural number n, the set contains the ordered pair (n, n + 1). Taking n = 1, 2, 3, 4, and so on produces (1,2), (2,3), (3,4), (4,5), and infinitely many further pairs. Different n values give different first coordinates, so no pairs repeat. Hence the set is infinite.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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