If A = {1, 3, 5, 7} and B = {3, 7, 9}, what is (A ∪ B) \ (A ∩ B)?
Advertisement
Answer and explanation
Correct answer: {1, 5, 9}
First find the union: A ∪ B = {1, 3, 5, 7, 9}. Next find the intersection: A ∩ B = {3, 7}. Removing the common elements from the union leaves {1, 5, 9}. Thus option A is correct. This expression is the symmetric difference of A and B, containing elements that belong to exactly one of the two sets.
Frequently asked questions
What is the correct answer to this question?
{1, 5, 9}
Why is this the correct answer?
First find the union: A ∪ B = {1, 3, 5, 7, 9}. Next find the intersection: A ∩ B = {3, 7}. Removing the common elements from the union leaves {1, 5, 9}. Thus option A is correct. This expression is the symmetric difference of A and B, containing elements that belong to exactly one of the two sets.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
Advertisement