If \(A=(-2,5]\) and \(B=[1,8)\), what is \(A\setminus B\)?
Answer and explanation
Correct answer: \((-2,1)\)
The set A contains all real numbers greater than -2 and up to and including 5. The set B contains every number from 1, including 1, up to but not including 8. Therefore, the portion of A removed by B begins at 1, and 1 must also be removed because it belongs to B. The remaining part is \((-2,1)\); -2 is excluded from A and 1 is excluded from the difference.
Frequently asked questions
What is the correct answer to this question?
\((-2,1)\)
Why is this the correct answer?
The set A contains all real numbers greater than -2 and up to and including 5. The set B contains every number from 1, including 1, up to but not including 8. Therefore, the portion of A removed by B begins at 1, and 1 must also be removed because it belongs to B. The remaining part is \((-2,1)\); -2 is excluded from A and 1 is excluded from the difference.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
