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

If A = {x ∈ ℤ : x² = 9} and B = {-3, 3}, choose the correct conclusion.

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Answer and explanation

Correct answer: A = B

The equation x² = 9 has two integer solutions: x = 3 and x = -3, because both 3² and (-3)² equal 9. Therefore A = {-3, 3}. This is exactly the roster used to define B. Since two sets are equal when they contain the same elements, A = B. The negative root must be included as well as the positive root.

Tags

setsequal setsinteger solutionssquare equationThe 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?

The equation x² = 9 has two integer solutions: x = 3 and x = -3, because both 3² and (-3)² equal 9. Therefore A = {-3, 3}. This is exactly the roster used to define B. Since two sets are equal when they contain the same elements, A = B. The negative root must be included as well as the positive root.

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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