If A = {x : x is a vowel in the English alphabet} and B = {a, e, i}, what is A − B?
Answer and explanation
Correct answer: {o, u}
The vowels in the English alphabet are A = {a, e, i, o, u}. The difference A − B means that we retain elements of A and remove every element that is also present in B. Since B contains a, e, and i, these three vowels are removed from A. The remaining vowels are o and u, so A − B = {o, u}. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
{o, u}
Why is this the correct answer?
The vowels in the English alphabet are A = {a, e, i, o, u}. The difference A − B means that we retain elements of A and remove every element that is also present in B. Since B contains a, e, and i, these three vowels are removed from A. The remaining vowels are o and u, so A − B = {o, u}. Therefore, option A is 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).
