If A = (−4, 1] and B = [−2, 3), what is A \ B?
Answer and explanation
Correct answer: (−4, −2)
The difference A \ B consists of elements that belong to A but do not belong to B. Set A contains all numbers greater than −4 up to and including 1. Set B contains every number from −2, including −2, through values less than 3. Removing B from A removes [−2,1], leaving numbers greater than −4 and less than −2. Since −2 belongs to B, it is excluded. Hence A \ B = (−4,−2), so A is correct.
Frequently asked questions
What is the correct answer to this question?
(−4, −2)
Why is this the correct answer?
The difference A \ B consists of elements that belong to A but do not belong to B. Set A contains all numbers greater than −4 up to and including 1. Set B contains every number from −2, including −2, through values less than 3. Removing B from A removes [−2,1], leaving numbers greater than −4 and less than −2. Since −2 belongs to B, it is excluded. Hence A \ B = (−4,−2), so A 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).
