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

If A = {1, 4, 9} and B = {x² : x = 1, 2, 3}, which statement is correct?

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Answer and explanation

Correct answer: A = B

Evaluate the rule defining B for each allowed value of x: 1² = 1, 2² = 4, and 3² = 9. Therefore, B = {1, 4, 9}. Set equality depends on having exactly the same elements, regardless of how the sets are represented or ordered. Since A has precisely these elements, A = B.

Tags

setsequal-setsset-builder-formsquaresThe 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 rule defining B for each allowed value of x: 1² = 1, 2² = 4, and 3² = 9. Therefore, B = {1, 4, 9}. Set equality depends on having exactly the same elements, regardless of how the sets are represented or ordered. Since A has precisely these elements, A = B.

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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