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What type of set is A = {2, 4, 6, 8}?

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Answer and explanation

Correct answer: Finite set

A finite set has a definite, countable number of elements. Set A contains exactly four distinct elements: 2, 4, 6, and 8. Since its cardinality is 4, it is a finite set. It is not empty because it has elements, and it is not infinite because the list ends after 8. A universal set cannot be identified without a stated context.

Tags

setsfinite setcardinalityset classificationThe 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?

Finite set

Why is this the correct answer?

A finite set has a definite, countable number of elements. Set A contains exactly four distinct elements: 2, 4, 6, and 8. Since its cardinality is 4, it is a finite set. It is not empty because it has elements, and it is not infinite because the list ends after 8. A universal set cannot be identified without a stated context.

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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