If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?
Answer and explanation
Correct answer: {1, 2, 3, 4, 5}
The union A ∪ B is the set of all elements that belong to A or to B or to both. Combining A = {1, 2, 3} and B = {3, 4, 5} gives 1, 2, 3, 4, and 5. The common element 3 is written only once because a set does not repeat elements. Therefore, A ∪ B = {1, 2, 3, 4, 5}.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4, 5}
Why is this the correct answer?
The union A ∪ B is the set of all elements that belong to A or to B or to both. Combining A = {1, 2, 3} and B = {3, 4, 5} gives 1, 2, 3, 4, and 5. The common element 3 is written only once because a set does not repeat elements. Therefore, A ∪ B = {1, 2, 3, 4, 5}.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).