If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following is an element of this set?

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Q: If a set is defined as {x | x is a letter in the English alphabet and x is a vowel}, which of the following is an element of this set?

Solution: The letter A is an element of the set as it is a vowel in the English alphabet.

Steps: 6

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 letters in the English alphabet are. 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 4: Identify which of these letters are vowels. The vowels in the English alphabet are A, E, I, O, U.
Step 5: Check if the letter A is in the list of vowels. Yes, A is a vowel.
Step 6: Conclude that since A is a vowel, it is an element of the set defined in the question.