If A = {x ∈ R : −1 < x ≤ 5} and B = {x ∈ R : 2 ≤ x < 7}, then what is A \ B?
Answer and explanation
Correct answer: (−1, 2)
Set A consists of all real numbers greater than −1 and at most 5. Set B contains every real number from 2 through 5, with 2 included. In A \ B, we retain elements of A that are not in B. Thus all values from −1 up to, but not including, 2 remain. The endpoint −1 was already excluded from A, and 2 is removed because it belongs to B. Therefore, A \ B = (−1, 2), option A.
Frequently asked questions
What is the correct answer to this question?
(−1, 2)
Why is this the correct answer?
Set A consists of all real numbers greater than −1 and at most 5. Set B contains every real number from 2 through 5, with 2 included. In A \ B, we retain elements of A that are not in B. Thus all values from −1 up to, but not including, 2 remain. The endpoint −1 was already excluded from A, and 2 is removed because it belongs to B. Therefore, A \ B = (−1, 2), option A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
