Question
Let $A$ and $B$ be subsets of some unknown universal set $U$. Suppose that $\bar{A}=\{3,8,9\}, A-B=\{1,2\}$, $B-A=\{8\}$ and $A \cap B=\{5,7\}$. Determine $U, A$ and $B$.
Step 1
- We know that \( A - B = \{1, 2\} \) and \( A \cap B = \{5, 7\} \). - Therefore, \( A = (A - B) \cup (A \cap B) = \{1, 2\} \cup \{5, 7\} = \{1, 2, 5, 7\} \). Show more…
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Review
Real Numbers
Use $U=$ universal set $=\{0,1,2,3,4,5,6,7,8,9\}$, $A=\{1,3,4,5,9\}, B=\{2,4,6,7,8\},$ and $C=\{1,3,4,6\}$ to find each set. $$ \bar{A} $$
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