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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 8

If A = {2, 4, 6} and B = {x : x is one of 2, 4, 6}, which statement is true?

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Answer and explanation

Correct answer: A = B

Set A is given in roster form as {2, 4, 6}. Set B is given in set-builder form: it contains every x that is one of 2, 4, or 6. Therefore, B also contains exactly 2, 4, and 6, so B = {2, 4, 6}. Since both sets have the same elements, A = B. Neither is a proper subset of the other.

Tags

equal-setsset-builder-formroster-formsubsetsEqual sets and SubsetsSetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

Set A is given in roster form as {2, 4, 6}. Set B is given in set-builder form: it contains every x that is one of 2, 4, or 6. Therefore, B also contains exactly 2, 4, and 6, so B = {2, 4, 6}. Since both sets have the same elements, A = B. Neither is a proper subset of the other.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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