If A = {1, 4, 7, 10} and B = {4, 10, 13}, what is A \ B?
Answer and explanation
Correct answer: {1, 7}
The difference A \ B contains elements that belong to A but do not belong to B. In A = {1, 4, 7, 10}, the elements 4 and 10 are also in B, so they must be removed. The elements 1 and 7 are not in B and remain in the result. Therefore, A \ B = {1, 7}, making option A correct. Option B lists the common elements, while option D is closer to a union.
Frequently asked questions
What is the correct answer to this question?
{1, 7}
Why is this the correct answer?
The difference A \ B contains elements that belong to A but do not belong to B. In A = {1, 4, 7, 10}, the elements 4 and 10 are also in B, so they must be removed. The elements 1 and 7 are not in B and remain in the result. Therefore, A \ B = {1, 7}, making option A correct. Option B lists the common elements, while option D is closer to a union.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
