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If a set is defined as {x | x is a letter in the English alphabet and x is a vow

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Question: 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?

Options:

  1. A
  2. E
  3. I
  4. Z

Correct Answer: Z

Solution: 

The letter Z is not a vowel and therefore is not an element of the set defined by vowels.

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?
  1. A
  2. E
  3. I
  4. 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?
  • 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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