If \(A=\{1,2,3,4,5\}\) and \(B=\{6,7,8\}\), what is \(A-B\)?
Answer and explanation
Correct answer: \(\{1,2,3,4,5\}\)
The difference \(A-B\) keeps elements of \(A\) that are not elements of \(B\). The sets \(A\) and \(B\) are disjoint because they have no common element: 1 through 5 occur only in \(A\), while 6 through 8 occur only in \(B\). Thus no element is removed from \(A\), and \(A-B=A=\{1,2,3,4,5\}\).
Frequently asked questions
What is the correct answer to this question?
\(\{1,2,3,4,5\}\)
Why is this the correct answer?
The difference \(A-B\) keeps elements of \(A\) that are not elements of \(B\). The sets \(A\) and \(B\) are disjoint because they have no common element: 1 through 5 occur only in \(A\), while 6 through 8 occur only in \(B\). Thus no element is removed from \(A\), and \(A-B=A=\{1,2,3,4,5\}\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
