If A = {1, 2, 3, 4} and B = {2, 4, 6, 8}, which element is in A − B?
Answer and explanation
Correct answer: 3
The difference A − B consists of elements that are in A but not in B. The elements 2 and 4 occur in both sets, so they are excluded from A − B. The element 3 is in A and does not occur in B, while 6 is not in A at all. Thus A − B = {1, 3}, and 3 is the only listed element belonging to this difference. Option C is correct.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The difference A − B consists of elements that are in A but not in B. The elements 2 and 4 occur in both sets, so they are excluded from A − B. The element 3 is in A and does not occur in B, while 6 is not in A at all. Thus A − B = {1, 3}, and 3 is the only listed element belonging to this difference. Option C is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).