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

In which option are the two sets unequal?

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Answer and explanation

Correct answer: {0} and ∅

Sets are equal when they contain exactly the same distinct elements; the order of elements does not matter, and repetition is ignored. Thus {1, 2} = {2, 1}, {a, a, b} = {a, b}, and {3, 4, 5} = {5, 4, 3}. But {0} has one element, whereas ∅ has no elements, so they are unequal.

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?

Sets are equal when they contain exactly the same distinct elements; the order of elements does not matter, and repetition is ignored. Thus {1, 2} = {2, 1}, {a, a, b} = {a, b}, and {3, 4, 5} = {5, 4, 3}. But {0} has one element, whereas ∅ has no elements, so they are unequal.

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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