Let $A = \{1, 3\}$, $B = \{1, 5, 9\}$, $C = \{1, 3, 5, 7, 9\}$. Which is **TRUE**?
A$A \subset B$ and $B \subset C$
B$A \not\subset B$, but $A \subset C$ and $B \subset C$
C$A \subset B$ and $A \not\subset C$
D$A = B$
Answer & Solution
Correct answer: B. $A \not\subset B$, but $A \subset C$ and $B \subset C$
Check pairs:
- $A \subset B$? $3 \in A$ but $3 \notin B$ → **No**.
- $A \subset C$? $\{1, 3\} \subset \{1, 3, 5, 7, 9\}$ → **Yes**.
- $B \subset C$? $\{1, 5, 9\} \subset \{1, 3, 5, 7, 9\}$ → **Yes**.
So **B** is true.
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