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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 5

If A = {x ∈ ℕ : x + 5 = x}, choose the correct statement about A.

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Answer and explanation

Correct answer: A = ∅

Subtracting x from both sides of x + 5 = x gives 5 = 0, which is a contradiction. Thus no natural number, or any number at all, satisfies the condition. A set containing no elements is the empty set, so A = ∅. It is not {5}, because x = 5 gives 10 = 5.

Tags

setsempty-setequationnatural-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?

A = ∅

Why is this the correct answer?

Subtracting x from both sides of x + 5 = x gives 5 = 0, which is a contradiction. Thus no natural number, or any number at all, satisfies the condition. A set containing no elements is the empty set, so A = ∅. It is not {5}, because x = 5 gives 10 = 5.

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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