If A = {1, 2} and B = {1, 2, 3, 4}, what is A ∪ B?
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Answer and explanation
Correct answer: {1, 2, 3, 4}
The union A ∪ B contains every element that belongs to A, to B, or to both sets. Here, A = {1, 2} and B already contains 1, 2, 3, and 4. Therefore, combining the elements without repeating any element gives A ∪ B = {1, 2, 3, 4}. Since A is a subset of B, their union is simply B.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 3, 4}
Why is this the correct answer?
The union A ∪ B contains every element that belongs to A, to B, or to both sets. Here, A = {1, 2} and B already contains 1, 2, 3, and 4. Therefore, combining the elements without repeating any element gives A ∪ B = {1, 2, 3, 4}. Since A is a subset of B, their union is simply B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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