If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∪ B?
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Answer and explanation
Correct answer: {1, 2, 3, 4, 5}
The union of two sets contains every element that belongs to at least one of the sets. Combining A = {1, 2, 3} and B = {3, 4, 5} gives 1, 2, 3, 4, and 5. The element 3 occurs in both sets, but set notation lists an element only once. 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 of two sets contains every element that belongs to at least one of the sets. Combining A = {1, 2, 3} and B = {3, 4, 5} gives 1, 2, 3, 4, and 5. The element 3 occurs in both sets, but set notation lists an element only once. 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).
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