If A={4,6,8,10} and B={6,10,12}, which elements are only in A, that is, in A but not in B?
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Answer and explanation
Correct answer: {4,8}
“Only in A” means the set difference A−B: retain elements of A and remove every element that also appears in B. Since 6 and 10 are common to A and B, removing them from A={4,6,8,10} leaves {4,8}. Thus option A is correct; option B is the intersection, C belongs only to B, and D is the union.
Frequently asked questions
What is the correct answer to this question?
{4,8}
Why is this the correct answer?
“Only in A” means the set difference A−B: retain elements of A and remove every element that also appears in B. Since 6 and 10 are common to A and B, removing them from A={4,6,8,10} leaves {4,8}. Thus option A is correct; option B is the intersection, C belongs only to B, and D is the union.
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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