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Subjects
Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 20

If U = {x : x ∈ ℕ, 1 ≤ x ≤ 5} and A = {x : x < 4}, what is Aᶜ?

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Answer and explanation

Correct answer: {4, 5}

The universal set is U = {1, 2, 3, 4, 5}. Since A is defined by x < 4 and x is a natural number in U, A = {1, 2, 3}. The complement contains the elements of U that are absent from A, so Aᶜ = U − A = {4, 5}. Option B is A itself, option C incorrectly includes 1, 2, and 3, and option D omits 4.

Tags

setscomplementset builder notationnatural numbersComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{4, 5}

Why is this the correct answer?

The universal set is U = {1, 2, 3, 4, 5}. Since A is defined by x < 4 and x is a natural number in U, A = {1, 2, 3}. The complement contains the elements of U that are absent from A, so Aᶜ = U − A = {4, 5}. Option B is A itself, option C incorrectly includes 1, 2, and 3, and option D omits 4.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.

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