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

If P = {x : x ∈ N, x² = 9}, which set is P?

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Answer and explanation

Correct answer: {3}

Solving x² = 9 gives x = 3 or x = −3. However, the definition also requires x to belong to N, the set of natural numbers. Under the standard school convention, 3 is a natural number but −3 is not. Therefore only 3 satisfies both conditions, so P = {3}, a singleton set. Option B is correct.

Tags

setssingleton-setnatural-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?

{3}

Why is this the correct answer?

Solving x² = 9 gives x = 3 or x = −3. However, the definition also requires x to belong to N, the set of natural numbers. Under the standard school convention, 3 is a natural number but −3 is not. Therefore only 3 satisfies both conditions, so P = {3}, a singleton set. Option B is correct.

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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