Using that for any sets mathrm{A} and mathrm{B}, A cap(A cup B)=A

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1.Set Theory

easy

Using that for any sets $\mathrm{A}$ and $\mathrm{B},$

$A \cap(A \cup B)=A$

Option A

Option B

Option C

Option D

Solution

To show: $A \cap(A \cup B)=A$

$A \cap(A \cup B)=(A \cap A) \cup(A \cap B)$

$=A \cup(A \cap B)$

$=A\{\text { from }(1)\}$

Standard 11

Mathematics

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