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

If L = {x : x ∈ N, x ≤ 20, and x is not divisible by 3}, what type of set is L?

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Answer and explanation

Correct answer: Finite set

The condition x ≤ 20 restricts x to the finite collection of natural numbers from 1 through 20. Excluding multiples of 3 removes 3, 6, 9, 12, 15, and 18, but it cannot create infinitely many elements. In fact, L = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}, so L is finite.

Tags

setsfinite setdivisibilitynatural 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 condition x ≤ 20 restricts x to the finite collection of natural numbers from 1 through 20. Excluding multiples of 3 removes 3, 6, 9, 12, 15, and 18, but it cannot create infinitely many elements. In fact, L = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}, so L is finite.

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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