If A = {1, 2, 3} and B = {2, 3, 4}, which is not a subset of A ∩ B?
Answer and explanation
Correct answer: {2, 4}
The intersection A ∩ B contains exactly the elements common to both A and B. Comparing the two sets gives A ∩ B = {2, 3}. The empty set, {2}, and {3} are all subsets because every one of their elements belongs to {2, 3}. However, {2, 4} contains 4, and 4 is not in the intersection. Therefore, option D is not a subset.
Frequently asked questions
What is the correct answer to this question?
{2, 4}
Why is this the correct answer?
The intersection A ∩ B contains exactly the elements common to both A and B. Comparing the two sets gives A ∩ B = {2, 3}. The empty set, {2}, and {3} are all subsets because every one of their elements belongs to {2, 3}. However, {2, 4} contains 4, and 4 is not in the intersection. Therefore, option D is not a subset.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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