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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsMediumLevel 4

If A = {x : x ∈ ℕ, x² < 10} and B = {1, 2, 3}, which statement is correct?

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Answer and explanation

Correct answer: A = B

Evaluate the condition x² < 10 for natural numbers. For x = 1, 2, and 3, the squares are 1, 4, and 9, all less than 10. For x = 4, x² = 16, which is not less than 10; larger natural numbers also fail. Thus A = {1, 2, 3}, exactly the same as B. Therefore A = B, so option A is correct.

Tags

setsequal-setsinequalitiessquare-numbersThe 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?

Evaluate the condition x² < 10 for natural numbers. For x = 1, 2, and 3, the squares are 1, 4, and 9, all less than 10. For x = 4, x² = 16, which is not less than 10; larger natural numbers also fail. Thus A = {1, 2, 3}, exactly the same as B. Therefore A = B, so 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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