Which of the following is a true statement
$\{a\} \subseteq \{a, b, c\}$
$\{a\} \in \{a, b, c\}$
$\phi \in \{a, b, c\}$
None of these
List all the elements of the following sers :
$A = \{ x:x$ is an odd natural number $\} $
If $A$ and $B$ are any two non empty sets and $A$ is proper subset of $B$. If $n(A) = 4$, then minimum possible value of $n(A \Delta B)$ is (where $\Delta$ denotes symmetric difference of set $A$ and set $B$)
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
Write the following sets in roster form :
$D = \{ x:x$ is a prime number which is divisor of $60\} $
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$