If A = [-4, 6) and B = (-1, 8], what is A \ B?
Advertisement
Answer and explanation
Correct answer: [-4, -1]
To find A \ B, retain elements of A that are not in B. Set B begins just greater than −1, so −1 itself is not in B and remains in the difference. Every number greater than −1 and below 6 belongs to B and must be removed. The left endpoint −4 is included in A, giving A \ B = [-4, −1].
Frequently asked questions
What is the correct answer to this question?
[-4, -1]
Why is this the correct answer?
To find A \ B, retain elements of A that are not in B. Set B begins just greater than −1, so −1 itself is not in B and remains in the difference. Every number greater than −1 and below 6 belongs to B and must be removed. The left endpoint −4 is included in A, giving A \ B = [-4, −1].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
Advertisement