Let $A$ and $B$ be two sets. Then

  • A

    $A  \cup B  \subseteq  A  \cap B$

  • B

    $A  \cap B  \subseteq  A  \cup B$

  • C

    $A  \cap B = A  \cup B$

  • D

    None of these

Similar Questions

If $A$ and $B$ are any two sets, then $A \cap (A \cup B)$ is equal to

If $A = \{ x:x$ is a natural number $\} ,B = \{ x:x$ is an even natural number $\} $ $C = \{ x:x$ is an odd natural number $\} $ and $D = \{ x:x$ is a prime number $\} ,$ find

$A \cap B$

If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {e^x},\,x \in R\} $; $B = \{ (x,\,y):y = x,\,x \in R\} ,$ then

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

$A \cap C \cap D$

Find the union of each of the following pairs of sets :

$A = \{ x:x$ is a natural number and multiple of $3\} $

$B = \{ x:x$ is a natural number less than $6\} $