If A = {0, 1, 2, 3} and B = {2, 3, 4, 5}, which of the following is a subset of A ∩ B?
Answer and explanation
Correct answer: {2}
The intersection contains only elements common to both sets. Comparing A and B gives A ∩ B = {2, 3}. A set is a subset when every one of its elements belongs to the given set. Since 2 belongs to {2, 3}, {2} is a subset. The other options contain 4 or elements not common to both sets.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
The intersection contains only elements common to both sets. Comparing A and B gives A ∩ B = {2, 3}. A set is a subset when every one of its elements belongs to the given set. Since 2 belongs to {2, 3}, {2} is a subset. The other options contain 4 or elements not common to both sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).