If U = {1,2,3,4,5,6,7,8,9}, A = {1,2,4,8}, and B = {2,4,6,8}, what is A \ B?
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Answer and explanation
Correct answer: {1}
The difference A \ B consists of elements that are in A but not in B. Begin with A = {1,2,4,8}; the elements 2, 4, and 8 also occur in B, so they must be removed. The only remaining element is 1. Therefore, A \ B = {1}. The set {2,4,8} is actually A ∩ B, whereas {6} belongs to B but not to A.
Frequently asked questions
What is the correct answer to this question?
{1}
Why is this the correct answer?
The difference A \ B consists of elements that are in A but not in B. Begin with A = {1,2,4,8}; the elements 2, 4, and 8 also occur in B, so they must be removed. The only remaining element is 1. Therefore, A \ B = {1}. The set {2,4,8} is actually A ∩ B, whereas {6} belongs to B but not to A.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
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