If \(A=\{\text{north},\text{south},\text{east},\text{west}\}\) and \(B=\{\text{east},\text{west}\}\), what is \(A-B\)?
Answer and explanation
Correct answer: \(\{\text{north},\text{south}\}\)
To find \(A-B\), remove from \(A\) every element that is also in \(B\). The elements east and west occur in both sets, so they are deleted from \(A\). The remaining elements are north and south. Therefore, \(A-B=\{\text{north},\text{south}\}\). This is not the intersection, empty set, or complete original set.
Frequently asked questions
What is the correct answer to this question?
\(\{\text{north},\text{south}\}\)
Why is this the correct answer?
To find \(A-B\), remove from \(A\) every element that is also in \(B\). The elements east and west occur in both sets, so they are deleted from \(A\). The remaining elements are north and south. Therefore, \(A-B=\{\text{north},\text{south}\}\). This is not the intersection, empty set, or complete original set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
