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Class 10MathematicsSetsSets and their representationsEasyLevel 1

If A₁ = {x ∈ ℕ : 1 ≤ x ≤ 5}, which is the correct roster form of A₁?

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Answer and explanation

Correct answer: {1, 2, 3, 4, 5}

Here x is a natural number satisfying both inequalities 1 ≤ x and x ≤ 5. Because both inequalities are non-strict, the endpoints 1 and 5 are included. Listing every natural number from 1 through 5 gives A₁ = {1, 2, 3, 4, 5}. Zero is not included because the lower bound begins at 1.

Tags

setsnatural-numbersroster-forminequalitiesSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 2, 3, 4, 5}

Why is this the correct answer?

Here x is a natural number satisfying both inequalities 1 ≤ x and x ≤ 5. Because both inequalities are non-strict, the endpoints 1 and 5 are included. Listing every natural number from 1 through 5 gives A₁ = {1, 2, 3, 4, 5}. Zero is not included because the lower bound begins at 1.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.

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