If \(A=\{1,2,3,4,5\}\) and \(B=\{4,5,6,7\}\), what is \(A-B\)?
Answer and explanation
Correct answer: \(\{1,2,3\}\)
The difference \(A-B\) means the set of elements that belong to A but do not belong to B. In A = {1,2,3,4,5}, the elements 4 and 5 are also in B, so they must be removed. The remaining elements are 1, 2, and 3; therefore, \(A-B=\{1,2,3\}\). This operation is directional, so it is generally different from \(B-A\).
Frequently asked questions
What is the correct answer to this question?
\(\{1,2,3\}\)
Why is this the correct answer?
The difference \(A-B\) means the set of elements that belong to A but do not belong to B. In A = {1,2,3,4,5}, the elements 4 and 5 are also in B, so they must be removed. The remaining elements are 1, 2, and 3; therefore, \(A-B=\{1,2,3\}\). This operation is directional, so it is generally different from \(B-A\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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