State whether each of the following statements is true or false for the sets \( A \) and \( B \)...

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State whether each of the following statements is true or false for the sets \( A \) and \( B \) where \( \mathrm{A}=\{x: x \) is a letter in the word TRACT \( \} \),
\( \mathrm{B}=\{x: x \) is a letter in the word CATARACT \( \} \)
\( A \) is a proper subset of \( B \)
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