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In which option are the two given sets equal?

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Answer and explanation

Correct answer: A={0,2,4,6}, B={6,4,2,0,2}

The governing property of sets is that order and repetition do not affect membership. In option A, set A contains the distinct elements 0, 2, 4, and 6. Set B contains exactly the same distinct elements; the reversed order and repeated 2 do not create a new member. Thus A and B are equal, making option A correct. Every other option has an additional or different element, so those pairs are unequal.

Related tags

SetsEquality Of SetsDistinct ElementsNumber SystemsClass 9 McqMathematics

Frequently asked questions

What is the correct answer to this question?

A={0,2,4,6}, B={6,4,2,0,2}

Why is this the correct answer?

The governing property of sets is that order and repetition do not affect membership. In option A, set A contains the distinct elements 0, 2, 4, and 6. Set B contains exactly the same distinct elements; the reversed order and repeated 2 do not create a new member. Thus A and B are equal, making option A correct. Every other option has an additional or different element, so those pairs are unequal.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems.

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