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If a set is defined as {x | x is a letter in the English alphabet and x is a vow
Practice Questions
Q1
If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following letters is NOT an element of this set?
A
E
I
Z
Questions & Step-by-Step Solutions
If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following letters is NOT an element of this set?
Steps
Concepts
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 and x is a vowel}.
Step 3: Identify what the vowels in the English alphabet are. The vowels are A, E, I, O, and U.
Step 4: List the letters in the English alphabet: 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 from the alphabet are vowels. The vowels are A, E, I, O, U.
Step 6: Identify the letter Z from the alphabet. Z is not one of the vowels.
Step 7: Conclude that since Z is not a vowel, it is not an element of the set defined by vowels.
Set Theory
– Understanding the definition and elements of a set based on given criteria.
Vowels in the English Alphabet
– Identifying the vowels (A, E, I, O, U) and distinguishing them from consonants.
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