If A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6}, what are A \ B and B \ A, respectively?
Answer and explanation
Correct answer: ({1, 3, 5}, ∅)
A \ B consists of elements that are in A but not in B. Removing 2, 4, and 6 from A leaves {1, 3, 5}. For B \ A, we look for elements in B that are absent from A. Since B = {2, 4, 6} is completely contained in A, no such elements exist, so B \ A = ∅. Hence the ordered pair is ({1, 3, 5}, ∅), making option A correct.
Frequently asked questions
What is the correct answer to this question?
({1, 3, 5}, ∅)
Why is this the correct answer?
A \ B consists of elements that are in A but not in B. Removing 2, 4, and 6 from A leaves {1, 3, 5}. For B \ A, we look for elements in B that are absent from A. Since B = {2, 4, 6} is completely contained in A, no such elements exist, so B \ A = ∅. Hence the ordered pair is ({1, 3, 5}, ∅), 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).
