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