Show that A cap B=A cap C need not imply B = | vedclass

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Question

Let $A=\{0,1\}, B=\{0,2,3\},$ and $C=\{0,4,5\}$

Accordingly, $A \cap B=\{0\}$ and $A \cap C=\{0\}$

Here, $A \cap B=A \cap C=\{0\}$

However, $

Vedclass · Accepted Answer

Vedclass · Answer

Let $A=\{0,1\}, B=\{0,2,3\},$ and $C=\{0,4,5\}$

Accordingly, $A \cap B=\{0\}$ and $A \cap C=\{0\}$

Here, $A \cap B=A \cap C=\{0\}$

However, $B 
e C\,[2 \in B$ and $2 
otin C]$

Show that $A \cap B=A \cap C$ need not imply $B = C$

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