7. Suppose the universal set \( U \) be the set of one-digit numbers, and set \( A=\{x \mid x \) is an even natural number less than or equal to 9\( \} \). Describe each set by complete listing method: a. \( A^{\prime} \) b. \( A \cap A^{\prime} \) c. \( A \cup A^{\prime} \) d. \( \left(A^{\prime}\right)^{\prime} \) e. \( \phi \backslash U \) f. \( \phi^{\prime} \) g. \( U^{\prime} \) 8. Let \( U=\{1,2,3,4, \ldots \ldots, 10\}, A=\{1,3,5,7\}, B=\{1,2,3,4\} \). Evaluate \( U \backslash(A \Delta B) \). 9. Consider a universal set \( U=\{1,2,3, \ldots, 14\}, A=\{2,3,5,7,11\} \), B \( =\{2,4,8,9,10,11\} \). Then, which one of the following is true? A. \( (A \cup B)^{\prime}=\{1,4,6,12,13,14\} \) B. \( A \cap B=A^{\prime} \cup B^{\prime} \) C. \( A \Delta B=(A \cap B)^{\prime} \) D. \( A \backslash B=\{3,5,7\} \) E. \( N o n e \)
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