Suggest a universal set for the sets given below :
[vowels in English alphabet), (consonants in English alphabet).

Answer

To suggest a universal set for the sets given below (vowels in the English alphabet and consonants in the English alphabet), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Vowels in the English Alphabet:**
- The vowels in the English alphabet are A, E, I, O, and U.
- Therefore, we can define the set of vowels as:
\[ A = \{ A, E, I, O, U \} \]

2. **Identify the Consonants in the English Alphabet:**
- The consonants are all the letters in the English alphabet that are not vowels.
- The English alphabet consists of 26 letters: 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.
- The consonants can be derived by excluding the vowels from the full set of letters:
\[ B = \{ B, C, D, F, G, H, J, K, L, M, N, P, Q, R, S, T, V, W, X, Y, Z \} \]

3. **Define the Universal Set:**
- The universal set (U) should contain all elements that are in either set A (vowels) or set B (consonants).
- Since set A contains the vowels and set B contains the consonants, the universal set can be defined as:
\[ U = A \cup B \]
- This means U includes all letters from A to Z.

4. **List the Elements of the Universal Set:**
- Therefore, the universal set U is:
\[ U = \{ A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z \} \]

5. **Conclusion:**
- The universal set for the sets of vowels and consonants in the English alphabet is the complete set of English letters from A to Z.

### Final Answer:
The universal set is:
\[ U = \{ A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z \} \]

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