If A = {1,2,3,4,5,6,7,8}, B = {2,4,6,8,10}, and C = {1,4,8,12}, what is (A ∩ B) \ C?
Answer and explanation
Correct answer: {2,6}
First calculate the intersection of A and B. The elements common to both sets are A ∩ B = {2,4,6,8}. Set difference means retaining elements of the first set that do not occur in the second set. Since 4 and 8 are also in C = {1,4,8,12}, remove them from the intersection. The remaining elements are {2,6}, so option A is correct. Option D stops before subtraction, while option B contains the removed elements.
Frequently asked questions
What is the correct answer to this question?
{2,6}
Why is this the correct answer?
First calculate the intersection of A and B. The elements common to both sets are A ∩ B = {2,4,6,8}. Set difference means retaining elements of the first set that do not occur in the second set. Since 4 and 8 are also in C = {1,4,8,12}, remove them from the intersection. The remaining elements are {2,6}, so option A is correct. Option D stops before subtraction, while option B contains the removed elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
