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If A = {1, 4, 7, 10} and B = {2, 4, 6, 10}, what is A ∩ B?
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Answer and explanation
Correct answer: {4, 10}
The intersection A ∩ B consists only of elements that occur in both sets. Comparing A = {1, 4, 7, 10} with B = {2, 4, 6, 10}, the common elements are 4 and 10. The elements 1 and 7 occur only in A, while 2 and 6 occur only in B. Therefore A ∩ B = {4, 10}, so option B is correct.
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What is the correct answer to this question?
{4, 10}
Why is this the correct answer?
The intersection A ∩ B consists only of elements that occur in both sets. Comparing A = {1, 4, 7, 10} with B = {2, 4, 6, 10}, the common elements are 4 and 10. The elements 1 and 7 occur only in A, while 2 and 6 occur only in B. Therefore A ∩ B = {4, 10}, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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