If A = {1, 2, 4, 8}, B = {2, 4, 6, 8}, and C = {4, 8, 10}, what is (A ∩ B) \ C?
Answer and explanation
Correct answer: {2}
The operation inside parentheses is performed first. The elements common to A and B are 2, 4, and 8, so A ∩ B = {2, 4, 8}. Set difference then removes from this result every element found in C. Because 4 and 8 are in C, they are deleted, while 2 remains because it is not in C. Thus (A ∩ B) \ C = {2}, making option A correct.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
The operation inside parentheses is performed first. The elements common to A and B are 2, 4, and 8, so A ∩ B = {2, 4, 8}. Set difference then removes from this result every element found in C. Because 4 and 8 are in C, they are deleted, while 2 remains because it is not in C. Thus (A ∩ B) \ C = {2}, making option A 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).
