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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

If A = {x ∈ ℚ : x² = 4} and B = {-2, 2}, choose the correct statement.

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Answer and explanation

Correct answer: A = B

To determine A, solve x² = 4. Factoring gives (x − 2)(x + 2) = 0, so x = 2 or x = −2. Both numbers are rational, hence both belong to A. Therefore A = {-2, 2}, which is exactly the set B. A set does not repeat elements, and the order of elements is irrelevant. Thus the correct statement is A = B.

Tags

setsequal setsrational numberssolution setThe Empty SetFinite and Infinite 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 determine A, solve x² = 4. Factoring gives (x − 2)(x + 2) = 0, so x = 2 or x = −2. Both numbers are rational, hence both belong to A. Therefore A = {-2, 2}, which is exactly the set B. A set does not repeat elements, and the order of elements is irrelevant. Thus the correct statement is 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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