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# 2025-12-02 10:57:??
### Set Notation Example
Let $A$ and $B$ be sets
sharing some but not all elements.
* $A \cap B \neq \varnothing$:
"The intersection of $A$ and $B$ is nonempty"
(They share at least one element).
* $A \not\subseteq B$:
"$A$ is not a subset of $B$"
($A$ has at least one element not in $B$).
Equivalent to $A \setminus B \neq \varnothing$.
* $B \not\subseteq A$:
"$B$ is not a subset of $A$"
($B$ has at least one element not in $A$).
Equivalent to $B \setminus A \neq \varnothing$.