Review Note
Last Update: 12/02/2024 07:52 AM
Current Deck: Sur papier::Maths::Ensembles
PublishedCurrently Published Content
Front
[latex]Relation entre $f(A \cap B)$ et $f(A) \cap f(B)$[/latex]
Back
[latex]
$\text{On a }\begin{cases}
A\cap B \subset A\\
A\cap B \subset B\\
\end{cases}$\\
$\text{Ainsi }\begin{cases}
f(A\cap B) \subset f(A)\\
f(A\cap B) \subset f(B)\\
\end{cases}$\\
En regroupeant : $f(A\cap B) \subset f(A) \cap f(B)$.
[/latex]
$\text{On a }\begin{cases}
A\cap B \subset A\\
A\cap B \subset B\\
\end{cases}$\\
$\text{Ainsi }\begin{cases}
f(A\cap B) \subset f(A)\\
f(A\cap B) \subset f(B)\\
\end{cases}$\\
En regroupeant : $f(A\cap B) \subset f(A) \cap f(B)$.
[/latex]
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