If A, B, C be three sets such that A B=A C and A B=A C, then, - Vidyadip

MCQ

If $A, B, C$ be three sets such that $\text{A } \cup \text{ B}=\text{A } \cup \text{ C}$ and $\text{A } \cap \text{ B}=\text{A } \cap \text{ C},$ then,

✓
$B = C$
B
$A = C$
C
$A = B = C$
D
$A = B$

✓

Answer

Correct option: A.

$B = C$

Given $A, B, C$ be three sets such that $\text{A } \cup \text{ B}=\text{A } \cup \text{ C}$ and $\text{A } \cap \text{ B}=\text{A } \cap \text{ C},$ then, $B = C$

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