સાબિત કરો કે $A \cap B=A \cap C$ પરથી $B = C$ કહી શકાય નહિ.

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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, $B \ne C\,[2 \in B$ and $2 \notin C]$

Similar Questions

જો $A=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ અને $D=\{7,8,9,10\} $ હોય, તો શોધો : $A \cup B \cup D$

જો  $A$ અને  $B$ એ $X$ હોય તો  . . . 

જો $A=\{3,6,9,12,15,18,21\}, B=\{4,8,12,16,20\},$ $C=\{2,4,6,8,10,12,14,16\}, D=\{5,10,15,20\} ;$ તો મેળવો : $B-A$

જો $A=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ અને $D=\{7,8,9,10\} $ હોય, તો શોધો : $B \cup C \cup D$

યોગગણ લખો :​ $A=\{1,2,3\}, B=\varnothing$