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

The set A = {x : x ∈ N, x² = 4} is equal to which set?

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Answer and explanation

Correct answer: {2}

We need natural-number values of x satisfying x² = 4. The equation has the two integer solutions x = 2 and x = −2, but under the usual school convention N contains positive natural numbers, so −2 is excluded. The only allowed value is x = 2. Therefore, the solution set is A = {2}, making option A correct.

Tags

setssolution-setnatural-numbersequationsThe 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?

{2}

Why is this the correct answer?

We need natural-number values of x satisfying x² = 4. The equation has the two integer solutions x = 2 and x = −2, but under the usual school convention N contains positive natural numbers, so −2 is excluded. The only allowed value is x = 2. Therefore, the solution set is A = {2}, making option A 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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