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How many elements are in A = {x : x ∈ ℕ, 10 < x < 15}?

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Answer and explanation

Correct answer: 4

The condition requires natural numbers strictly greater than 10 and strictly less than 15. Therefore, 10 and 15 are excluded because the inequalities are strict. The members are 11, 12, 13 and 14. Since there are four distinct members, the set is finite and its cardinality is 4. Hence option B is correct.

Tags

setsfinite-setcardinalitycountingThe 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?

4

Why is this the correct answer?

The condition requires natural numbers strictly greater than 10 and strictly less than 15. Therefore, 10 and 15 are excluded because the inequalities are strict. The members are 11, 12, 13 and 14. Since there are four distinct members, the set is finite and its cardinality is 4. Hence option B is correct.

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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