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

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Question: If a set is defined as {x | x is a letter in the English alphabet and x is a consonant}, which of the following letters is NOT included in this set?

Options:

  1. B
  2. E
  3. K
  4. T

Correct Answer: E

Solution: 

The letter E is a vowel and therefore not included in the set of consonants.

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

Practice Questions

Q1
If a set is defined as {x | x is a letter in the English alphabet and x is a consonant}, which of the following letters is NOT included in this set?
  1. B
  2. E
  3. K
  4. T

Questions & Step-by-Step Solutions

If a set is defined as {x | x is a letter in the English alphabet and x is a consonant}, which of the following letters is NOT included in 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 consonant}. This means the set includes all letters that are consonants.
  • Step 3: Recall 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 4: Identify the consonants in the English alphabet. The consonants are: B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y.
  • Step 5: Identify the vowels in the English alphabet. The vowels are: A, E, I, O, U.
  • Step 6: Determine which letters are NOT consonants. Since E is a vowel, it is NOT included in the set of consonants.
  • Set Definition – Understanding how sets are defined using set-builder notation.
  • Vowels vs. Consonants – Knowledge of the English alphabet, specifically distinguishing between vowels and consonants.
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