If \(A=\{1,2,3,4,5,6,7,8\}\), \(B=\{2,4,6,8\}\), and \(C=\{1,2,3,4\}\), what is \(B\setminus C\)?
Answer and explanation
Correct answer: \(\{6,8\}\)
To find \(B\setminus C\), retain the elements of B that do not occur in C. The elements of B are 2, 4, 6, and 8. Since 2 and 4 are also in \(C=\{1,2,3,4\}\), they must be removed. The elements 6 and 8 are not in C, so \(B\setminus C=\{6,8\}\). Therefore, option A is correct; the set A is extra information and is not needed for this calculation.
Frequently asked questions
What is the correct answer to this question?
\(\{6,8\}\)
Why is this the correct answer?
To find \(B\setminus C\), retain the elements of B that do not occur in C. The elements of B are 2, 4, 6, and 8. Since 2 and 4 are also in \(C=\{1,2,3,4\}\), they must be removed. The elements 6 and 8 are not in C, so \(B\setminus C=\{6,8\}\). Therefore, option A is correct; the set A is extra information and is not needed for this calculation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
