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

If A = {x : x² = 9 and x is even}, what type of set is A?

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Answer and explanation

Correct answer: Empty set

Solving x² = 9 gives x = 3 or x = −3. Both 3 and −3 are odd integers, so neither satisfies the additional condition that x must be even. Since no number satisfies both conditions simultaneously, A has no elements. Therefore A is the empty set, represented by ∅.

Tags

setsempty-setequationseven-and-odd-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?

Empty set

Why is this the correct answer?

Solving x² = 9 gives x = 3 or x = −3. Both 3 and −3 are odd integers, so neither satisfies the additional condition that x must be even. Since no number satisfies both conditions simultaneously, A has no elements. Therefore A is the empty set, represented by ∅.

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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