If A, B and C are any three sets, then A - (B cap C) is equal to

English

Gujarati

Hindi

1.Set Theory

easy

If $A, B$ and $C$ are any three sets, then $A - (B \cap C)$ is equal to

A

$(A - B) \cup (A - C)$

B

$(A - B) \cap (A - C)$

C

$(A - B) \cup C$

D

$(A - B) \cap C$

Solution

(a) From De’ morgan’s law, $A – (B \cap C) = (A – B) \cup (A – C)$.

Standard 11

Mathematics

Share

Similar Questions

If $A=\{3,5,7,9,11\}, B=\{7,9,11,13\}, C=\{11,13,15\}$ and $D=\{15,17\} ;$ find

$A \cap B$

easy

If $A, B$ and $C$ are non-empty sets, then $(A -B) \cup (B -A)$ equals

easy

If $A=\{1,2,3,4\}, B=\{3,4,5,6\}, C=\{5,6,7,8\}$ and $D=\{7,8,9,10\} ;$ find

$A \cup B \cup C$

easy

Show that if $A \subset B,$ then $(C-B) \subset( C-A)$

easy

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

easy