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

What type of set is E = {x : x is an even natural number}?

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Answer and explanation

Correct answer: Infinite set

The even natural numbers are 2, 4, 6, 8, 10, and so on. For every even natural number, a larger even natural number can be found by adding 2. Therefore, the list never terminates and the set has infinitely many elements. Hence, E is an infinite set, not a finite or singleton set.

Tags

setsinfinite-seteven-natural-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?

Infinite set

Why is this the correct answer?

The even natural numbers are 2, 4, 6, 8, 10, and so on. For every even natural number, a larger even natural number can be found by adding 2. Therefore, the list never terminates and the set has infinitely many elements. Hence, E is an infinite set, not a finite or singleton set.

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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