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

Which of the following pairs is not a pair of equal sets?

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Answer and explanation

Correct answer: {0} and {∅}

In a set, the order of elements is irrelevant and repeated listing of an element does not create a new element. Thus the pairs in A, B, and D are equal. But {0} contains the number 0, whereas {∅} contains the empty set as its sole element. Since 0 and ∅ are different objects, pair C is not equal.

Tags

setsequal-setsempty-setThe 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?

{0} and {∅}

Why is this the correct answer?

In a set, the order of elements is irrelevant and repeated listing of an element does not create a new element. Thus the pairs in A, B, and D are equal. But {0} contains the number 0, whereas {∅} contains the empty set as its sole element. Since 0 and ∅ are different objects, pair C is not equal.

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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