If A = {2, 4, 6, 8, 10} and B = {4, 8}, which statement is correct?
Answer and explanation
Correct answer: B ⊂ A
The elements of B are 4 and 8, and both of them occur in A. Therefore B is a subset of A. Since A also contains 2, 6, and 10, which are not in B, the two sets are not equal; B is specifically a proper subset of A. Statement A is therefore correct. Statement B reverses the inclusion, statement C ignores the extra elements of A, and statement D is false because 10 is not in B.
Frequently asked questions
What is the correct answer to this question?
B ⊂ A
Why is this the correct answer?
The elements of B are 4 and 8, and both of them occur in A. Therefore B is a subset of A. Since A also contains 2, 6, and 10, which are not in B, the two sets are not equal; B is specifically a proper subset of A. Statement A is therefore correct. Statement B reverses the inclusion, statement C ignores the extra elements of A, and statement D is false because 10 is not in B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.