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