If A = {1, 2, 3, 4, 5, 6, 7}, B = {2, 4, 6, 8}, and C = {1, 4, 7, 10}, what is (A \ B) ∩ C?
Answer and explanation
Correct answer: {1, 7}
First find A \ B by removing every element of B from A. This gives A \ B = {1, 3, 5, 7}, because 2, 4, and 6 are removed while 8 was not in A. Next intersect this result with C = {1, 4, 7, 10}. The elements common to both sets are 1 and 7, so (A \ B) ∩ C = {1, 7}. Option C stops after the difference and does not perform the intersection.
Frequently asked questions
What is the correct answer to this question?
{1, 7}
Why is this the correct answer?
First find A \ B by removing every element of B from A. This gives A \ B = {1, 3, 5, 7}, because 2, 4, and 6 are removed while 8 was not in A. Next intersect this result with C = {1, 4, 7, 10}. The elements common to both sets are 1 and 7, so (A \ B) ∩ C = {1, 7}. Option C stops after the difference and does not perform the intersection.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
