Write the following sets. (a) The set of letters used in the sentence "List the elements in a set only once." (b) The set of letters that are needed to spell the words "team", "meat", "mate", and "tame" (c) The set of states in the United States that contain the letter Q (a) Choose the correct answer below. A. \( \{l, i, s, t, h, e, n, a, o, y, c\} \) B. \( \{l, i, s, t, h, e, m, n, a, o, y, e\} \) C. \( \{1, \mathrm{i}, \mathrm{s}, \mathrm{t}, \mathrm{h}, \mathrm{e}, \mathrm{m}, \mathrm{n}, \mathrm{a}, \mathrm{o}, \mathrm{y}, \mathrm{c}\} \) D. \( \{l, \mathrm{~s}, \mathrm{t}, \mathrm{h}, \mathrm{e}, \mathrm{m}, \mathrm{n}, \mathrm{a}, \mathrm{o}, \mathrm{y}, \mathrm{c}\} \) (b) Choose the correct answer below. A. \( \{t, a, e, m, t\} \) B. \( \{a, e, m, t, i\} \) C. \( \{\mathrm{a}, \mathrm{e}, \mathrm{m}, \mathrm{i}\} \) D. \( \{a, e, m, t\} \)
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The sentence "List the elements in a set only once" uses a variety of letters, but when you only keep the unique ones, the correct answer is A. \( \{l, i, s, t, h, e, n, a, o, y, c\} \). This set includes all distinct letters without any duplicates, which is essential for clarity! For the second part, the words "team", "meat", "mate", and "tame" all share the same letters—just arranged in various ways. Thus, the correct answer is D. \( \{a, e, m, t\} \). These letters make up the entirety of the words, showing how flexible and playful language can be!
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