A ∩ B ⊇ {2, 3} implies that {2, 3} ⊆ A and {2, 3} ⊆ B.Group startsTrue or FalseTrue, unselectedFalse, unselected

Break Down the Problem

1. We are given the statement $A \cap B \supseteq \{2, 3\}$.
2. We need to determine if this implies $\{2, 3\} \subseteq A$ and $\{2, 3\} \subseteq B$.

Relevant Concepts

1. The intersection $A \cap B$ consists of all elements that are in both sets $A$ and $B$.
2. The notation $\supseteq$ indicates that the left side is a superset of the right side.

Analysis and Detail

1. The statement $A \cap B \supseteq \{2, 3\}$ means that both elements 2 and 3 are in the intersection of $A$ and $B$.
2. If both 2 and 3 are in $A \cap B$, it follows that:
   • 2 is in both $A$ and $B$.
   • 3 is in both $A$ and $B$.

Verify and Summarize

1. From the logical deduction, since both elements (2 and 3) are present in the intersection $A \cap B$, it confirms that:
   • $\{2, 3\} \subseteq A$
   • $\{2, 3\} \subseteq B$

Final Answer

True. The statement $A \cap B \supseteq \{2, 3\}$ implies that $\{2, 3\} \subseteq A$ and $\{2, 3\} \subseteq B$.