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How many elements are in A = {x : x is a prime number less than 12}?

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Answer and explanation

Correct answer: 5

The prime numbers less than 12 are 2, 3, 5, 7, and 11. Thus A = {2, 3, 5, 7, 11}, which contains five distinct elements. The number 1 is not prime because it has only one positive divisor, and 12 is excluded because the condition says less than 12. Therefore, the answer is 5.

Tags

setsprime-numberscardinalityThe 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?

5

Why is this the correct answer?

The prime numbers less than 12 are 2, 3, 5, 7, and 11. Thus A = {2, 3, 5, 7, 11}, which contains five distinct elements. The number 1 is not prime because it has only one positive divisor, and 12 is excluded because the condition says less than 12. Therefore, the answer is 5.

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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