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If A = {x : x is a vowel in the English alphabet} and B = {a, b, c, d, e}, what is A ∩ B?

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Answer and explanation

Correct answer: {a, e}

The vowels in the English alphabet are A = {a, e, i, o, u}. Set B contains {a, b, c, d, e}. The intersection contains only letters present in both sets. The common letters are a and e; i, o, and u are vowels but do not belong to B. Therefore, A ∩ B = {a, e}, making option A correct.

Tags

setsintersectionroster-formalphabet-vowelsOperations on Sets (UnionDifference)operations on sets union intersection differenceMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{a, e}

Why is this the correct answer?

The vowels in the English alphabet are A = {a, e, i, o, u}. Set B contains {a, b, c, d, e}. The intersection contains only letters present in both sets. The common letters are a and e; i, o, and u are vowels but do not belong to B. Therefore, A ∩ B = {a, e}, making option A 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).

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