If A = [−3, 4], B = (−1, 6), and C = [2, 8], what is A ∩ (B \ C)?
Answer and explanation
Correct answer: (−1, 2)
First find B \ C. The interval B is (−1, 6), while C contains every number from 2 through 8, including 2. Removing C from B leaves (−1, 2), with both endpoints excluded: −1 was already excluded from B and 2 belongs to C. This remaining interval lies completely inside A = [−3, 4], so its intersection with A is (−1, 2). Therefore option C is correct.
Frequently asked questions
What is the correct answer to this question?
(−1, 2)
Why is this the correct answer?
First find B \ C. The interval B is (−1, 6), while C contains every number from 2 through 8, including 2. Removing C from B leaves (−1, 2), with both endpoints excluded: −1 was already excluded from B and 2 belongs to C. This remaining interval lies completely inside A = [−3, 4], so its intersection with A is (−1, 2). Therefore option C is 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).
