Question

List all the elements of the following set: D = {x : x is a vowel in the word, “EQUATION”}.

Answer 1

Hint: To solve this question, we should have an idea about the English alphabet. The English alphabet consists of 26 alphabets out of which, there are 5 vowels, namely, a, e, i, o, u and the rest 21 are consonants. So, we will consider only the vowels and leave the consonants in the given word, “EQUATION” to get the desired answer.

Complete step-by-step answer:

It is given in the question that we have to list all the elements of the given set D, where set D = {x : x is a vowel in the word, “EQUATION”}. Now, we know that there are 26 alphabets in English alphabets and out of that there are 5 vowels, which are, a, e, i, o, u. The rest 21 alphabets are known as the consonants. As, we have to list the elements of the set such that x is a vowel in the given word, “EQUATION”, let us start by considering each alphabet of the given word and finding if it is a vowel or a consonant. So, we get,
E = Vowel
Q = Consonant
U = Vowel
A = Vowel
T = Consonant
I = Vowel
O = Vowel
N = Consonant
So, we can see that the vowels in the given word are, E, U, A, I and O.
Therefore, we get the set D as, set D = {E, U, A, I, O}.

Note: There is a possibility of the students skipping to read the word, vowel in this question and may directly list all the elements of the given word, “EQUATION” and get the set D as {E, Q, U, A, T, I, O, N}, which will be the wrong answer. Hence the students should read the question carefully before solving. The students should also have knowledge about the English alphabets, vowels, and consonants.