If \(A=\{0,1,2,3\}\) and \(B=\{2,3,4,5\}\), which statement about \(A-B\) and \(B-A\) is correct?
Answer and explanation
Correct answer: \(A-B=\{0,1\}\) और \(B-A=\{4,5\}\)
For \(A-B\), retain elements of A that are not in B. Since 2 and 3 are common, they are removed from A, giving \(A-B=\{0,1\}\). For \(B-A\), remove 2 and 3 from B, giving \(B-A=\{4,5\}\). Hence option A is correct. This also shows that set difference is generally not commutative.
Frequently asked questions
What is the correct answer to this question?
\(A-B=\{0,1\}\) और \(B-A=\{4,5\}\)
Why is this the correct answer?
For \(A-B\), retain elements of A that are not in B. Since 2 and 3 are common, they are removed from A, giving \(A-B=\{0,1\}\). For \(B-A\), remove 2 and 3 from B, giving \(B-A=\{4,5\}\). Hence option A is correct. This also shows that set difference is generally not commutative.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
