If A = {x : x is a vowel of the English alphabet} and B = {a, e, i, o, u}, are A and B equal?
Answer and explanation
Correct answer: Yes, because both contain the same vowels
The English vowels are a, e, i, o, and u. The descriptive, or set-builder, form used for A identifies exactly these five letters, while B lists the same elements in roster form. Sets are equal when they contain the same elements, and the order in which elements are written is irrelevant. Therefore, A = B.
Frequently asked questions
What is the correct answer to this question?
Yes, because both contain the same vowels
Why is this the correct answer?
The English vowels are a, e, i, o, and u. The descriptive, or set-builder, form used for A identifies exactly these five letters, while B lists the same elements in roster form. Sets are equal when they contain the same elements, and the order in which elements are written is irrelevant. Therefore, A = B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
