If A = {cat, dog, cow} and B = {dog, goat}, what is A ∪ B?
Answer and explanation
Correct answer: {cat, dog, cow, goat}
The union A ∪ B contains every distinct element from both sets. Combining A and B gives cat, dog, cow, and goat. The repeated element dog is written only once because a set does not list duplicate elements. Thus A ∪ B = {cat, dog, cow, goat}. Option B is only the intersection, while options C and D omit elements. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{cat, dog, cow, goat}
Why is this the correct answer?
The union A ∪ B contains every distinct element from both sets. Combining A and B gives cat, dog, cow, and goat. The repeated element dog is written only once because a set does not list duplicate elements. Thus A ∪ B = {cat, dog, cow, goat}. Option B is only the intersection, while options C and D omit elements. Therefore, option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
