If A = {1, 2, 3, 5} and B = {2, 4, 5, 6}, what is A ∪ B?
Answer and explanation
Correct answer: {1, 2, 3, 4, 5, 6}
The union A ∪ B contains every distinct element that occurs in A or in B. Combining the two lists gives 1, 2, 3, 4, 5, and 6. Elements 2 and 5 appear in both sets, but set notation records each element only once. Therefore, A ∪ B = {1, 2, 3, 4, 5, 6}, so option A is correct. Option B is only the intersection, not the union.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5, 6}
Why is this the correct answer?
The union A ∪ B contains every distinct element that occurs in A or in B. Combining the two lists gives 1, 2, 3, 4, 5, and 6. Elements 2 and 5 appear in both sets, but set notation records each element only once. Therefore, A ∪ B = {1, 2, 3, 4, 5, 6}, so option A is correct. Option B is only the intersection, not the union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
