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
Which of the following are examples of the null set
Set of odd natural numbers divisible by $2$
Which of the following are examples of the null set
Set of odd natural numbers divisible by $2$
What universal set $(s)$ would you propose for each of the following :
The set of right triangles
What universal set $(s)$ would you propose for each of the following :
The set of right triangles
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$
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 $C$
$\varnothing$
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 $C$
$\varnothing$
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is