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Given A = {1, 2, 3, 4} and B = {2, 4}, which statement about B is correct?

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Answer and explanation

Correct answer: B ⊆ A; B is a subset of A

The set B contains the elements 2 and 4. Both of these elements are present in A = {1, 2, 3, 4}; therefore every element of B belongs to A, which proves B ⊆ A. The sets are not equal because A also contains 1 and 3. Also, 2 is an element of B, not a subset of B.

Tags

subset-relationset-membershipfinite-setssetsEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B ⊆ A; B is a subset of A

Why is this the correct answer?

The set B contains the elements 2 and 4. Both of these elements are present in A = {1, 2, 3, 4}; therefore every element of B belongs to A, which proves B ⊆ A. The sets are not equal because A also contains 1 and 3. Also, 2 is an element of B, not a subset of B.

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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