Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
Let $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$, then
- A
$A$ is always a subset of the complement of $B$
- B
$B$ is always a subset of $A$
- C
$A$ and $B$ are always disjoint
- D
$A$ and the complement of $B$ are always non-disjoint
Similar Questions
Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{ 1,2,3,4,5,6,7,8\} $
Given the sets $A=\{1,3,5\}, B=\{2,4,6\}$ and $C=\{0,2,4,6,8\},$ which of the following may be considered as universal set $(s)$ for all the three sets $A$, $B$ and $C$
$\{ 1,2,3,4,5,6,7,8\} $
Set $A$ has $m$ elements and Set $B$ has $n$ elements. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$, then the value of $m \times n$ is
Set $A$ has $m$ elements and Set $B$ has $n$ elements. If the total number of subsets of $A$ is $112$ more than the total number of subsets of $B$, then the value of $m \times n$ is
- [JEE MAIN 2020]
In rule method the null set is represented by
In rule method the null set is represented by
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$