If A = {2, 3, 5, 7, 11} and B = {1, 3, 5, 9, 11}, what is (A \ B) ∪ (B \ A)?
Answer and explanation
Correct answer: {1, 2, 7, 9}
The elements of A that are not in B are A \ B = {2, 7}. The elements of B that are not in A are B \ A = {1, 9}. Taking their union gives {1, 2, 7, 9}. The common elements 3, 5, and 11 are excluded from both differences. This operation is called the symmetric difference of the two sets, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 7, 9}
Why is this the correct answer?
The elements of A that are not in B are A \ B = {2, 7}. The elements of B that are not in A are B \ A = {1, 9}. Taking their union gives {1, 2, 7, 9}. The common elements 3, 5, and 11 are excluded from both differences. This operation is called the symmetric difference of the two sets, so 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).
