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

What type of set is P = {x : x is a positive even number less than 10}?

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Answer and explanation

Correct answer: Finite set

The positive even numbers less than 10 are 2, 4, 6, and 8. Thus P = {2, 4, 6, 8}. This set has exactly four elements, so all its elements can be counted and listed. A set with a fixed, limited number of elements is called a finite set; therefore, option B is correct.

Tags

setsfinite-seteven-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?

Finite set

Why is this the correct answer?

The positive even numbers less than 10 are 2, 4, 6, and 8. Thus P = {2, 4, 6, 8}. This set has exactly four elements, so all its elements can be counted and listed. A set with a fixed, limited number of elements is called a finite set; therefore, 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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