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If A = {2, 3, 5, 7} and B = {x : x is a prime number less than 10}, which statement is true?

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Answer and explanation

Correct answer: A = B

To compare the sets, write B in roster form. The prime numbers less than 10 are 2, 3, 5, and 7, so B = {2, 3, 5, 7}. This is exactly the roster form of A. Since two sets are equal when they contain precisely the same elements, A = B. Therefore, option A is correct.

Tags

setsequal-setsprime-numbersset-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?

A = B

Why is this the correct answer?

To compare the sets, write B in roster form. The prime numbers less than 10 are 2, 3, 5, and 7, so B = {2, 3, 5, 7}. This is exactly the roster form of A. Since two sets are equal when they contain precisely the same elements, A = B. Therefore, option A 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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