If A and B are two sets, then A cup B = A cap | vedclass

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Question

(c) Let $x \in A \Rightarrow x \in A \cup B$,$[\because A \subseteq A \cup B]$

==> $x \in A \cap B$,$[\because A \cup B = A \cap B]$

==> $

Vedclass · Accepted Answer

$A = B$

Vedclass · Answer

(c) Let $x \in A \Rightarrow x \in A \cup B$,$[\because A \subseteq A \cup B]$

==> $x \in A \cap B$,$[\because A \cup B = A \cap B]$

==> $x \in A$ and $x \in B$ ==> $x \in B$, $	herefore A \subseteq B$

Similarly, $x \in B$ ==> $x \in A$, $	herefore B \subseteq A$

Now $A \subseteq B,\,\,B \subseteq A$ ==> $A = B$.

If $A$ and $B$ are two sets, then $A \cup B = A \cap B$ iff

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