If A = [-2, 5] and B = (1, 7], what is A \ B?
Answer and explanation
Correct answer: [-2, 1]
The difference A \ B contains all elements that belong to A but do not belong to B. Set A includes every real number from -2 through 5, including both endpoints. Set B contains numbers greater than 1 and up to 7, but it does not include 1. Therefore, the part of A removed is (1, 5], while -2 through 1 remains. Hence A \ B = [-2, 1]. The closed endpoint at 1 is important because 1 is not in B.
Frequently asked questions
What is the correct answer to this question?
[-2, 1]
Why is this the correct answer?
The difference A \ B contains all elements that belong to A but do not belong to B. Set A includes every real number from -2 through 5, including both endpoints. Set B contains numbers greater than 1 and up to 7, but it does not include 1. Therefore, the part of A removed is (1, 5], while -2 through 1 remains. Hence A \ B = [-2, 1]. The closed endpoint at 1 is important because 1 is not in B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
