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

If A = {x : x is a natural number greater than 7}, what type of set is A?

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Answer and explanation

Correct answer: Infinite set

The natural numbers greater than 7 are 8, 9, 10, 11, and so on. The phrase “and so on” continues without an ending because there is no upper bound. For every member, another larger natural number can be found. Consequently, A has infinitely many elements and is an infinite set.

Tags

setsinfinite-setnatural-numbersinequalityThe 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 natural numbers greater than 7 are 8, 9, 10, 11, and so on. The phrase “and so on” continues without an ending because there is no upper bound. For every member, another larger natural number can be found. Consequently, A has infinitely many elements and is an infinite 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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