If A = {0, 1, 2, 3, 4} and B = {2, 3, 4, 5, 6}, what is (A ∪ B) − (A ∩ B)?
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Answer and explanation
Correct answer: {0, 1, 5, 6}
First find the union: A ∪ B = {0, 1, 2, 3, 4, 5, 6}. Next find the intersection: A ∩ B = {2, 3, 4}. Subtracting the intersection from the union removes the elements common to both sets and leaves the elements appearing in only one set: {0, 1, 5, 6}. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{0, 1, 5, 6}
Why is this the correct answer?
First find the union: A ∪ B = {0, 1, 2, 3, 4, 5, 6}. Next find the intersection: A ∩ B = {2, 3, 4}. Subtracting the intersection from the union removes the elements common to both sets and leaves the elements appearing in only one set: {0, 1, 5, 6}. 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).
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