If a set is defined as {x | x is a letter in the English alphabet that is a vowe
Practice Questions
Q1
If a set is defined as {x | x is a letter in the English alphabet that is a vowel}, which of the following letters is NOT in the set?
A
E
I
Y
Questions & Step-by-Step Solutions
If a set is defined as {x | x is a letter in the English alphabet that is a vowel}, which of the following letters is NOT in the set?
Step 1: Understand what a set is. A set is a collection of items that share a common property.
Step 2: Look at the definition of the set given in the question: {x | x is a letter in the English alphabet that is a vowel}. This means we are looking for letters that are vowels.
Step 3: Identify the vowels in the English alphabet. The vowels are A, E, I, O, and U.
Step 4: Consider the letters in the English alphabet. They are A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.
Step 5: Check which letters are not vowels. The letters B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, and Z are not vowels.
Step 6: Note that the letter Y is sometimes considered a vowel, but in this context, it is not classified as one.
Step 7: Conclude which letters are NOT in the set of vowels. Any letter that is not A, E, I, O, or U is not in the set.
Set Definition – Understanding how sets are defined using set-builder notation.
Vowel Identification – Knowledge of which letters in the English alphabet are classified as vowels.
Contextual Classification – Recognizing that some letters, like Y, can be vowels in certain contexts but not in others.
