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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

If A = {x : x ∈ ℤ and x² = 9}, then A is equal to which set?

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Answer and explanation

Correct answer: {-3, 3}

The condition x² = 9 means that x can be 3 or −3, because both (3)² and (−3)² equal 9. Both values belong to the set of integers ℤ, so both must be included in A. Therefore A = {−3, 3}. The values −9 and 9 are not solutions because the equation involves the square of x.

Tags

setsequal-setsintegersquadratic-equationThe 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?

{-3, 3}

Why is this the correct answer?

The condition x² = 9 means that x can be 3 or −3, because both (3)² and (−3)² equal 9. Both values belong to the set of integers ℤ, so both must be included in A. Therefore A = {−3, 3}. The values −9 and 9 are not solutions because the equation involves the square of x.

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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