Using that for any sets $\mathrm{A}$ and $\mathrm{B},$
$A \cap(A \cup B)=A$
Using that for any sets $\mathrm{A}$ and $\mathrm{B},$
$A \cap(A \cup B)=A$
To show: $A \cap(A \cup B)=A$
$A \cap(A \cup B)=(A \cap A) \cup(A \cap B)$
$=A \cup(A \cap B)$
$=A\{\text { from }(1)\}$
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