If A = {2, 4, 6} and B = {1, 2, 3, 4}, what is A − B?
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Answer and explanation
Correct answer: {6}
The difference A − B contains every element of A that is not an element of B. In A = {2, 4, 6}, the elements 2 and 4 are also present in B, so they are removed. The element 6 is not present in B and remains. Hence, A − B = {6}. The order matters: B − A would give a different set.
Frequently asked questions
What is the correct answer to this question?
{6}
Why is this the correct answer?
The difference A − B contains every element of A that is not an element of B. In A = {2, 4, 6}, the elements 2 and 4 are also present in B, so they are removed. The element 6 is not present in B and remains. Hence, A − B = {6}. The order matters: B − A would give a different set.
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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