Examine whether the following statements are true or false :
$\{a\} \subset\{a, b, c\}$
True. Each element of $\{a\}$ is also an element of $\{a, b, c\} .$
If a set $A$ has $n$ elements, then the total number of subsets of $A$ is
The smallest set $A$ such that $A \cup \{1, 2\} = \{1, 2, 3, 5, 9\}$ is
Let $A, B$ and $C$ be three sets. If $A \in B$ and $B \subset C$, is it true that $A$ $\subset$ $C$ ?. If not, give an example.
Consider the sets
$\phi, A=\{1,3\}, B=\{1,5,9\}, C=\{1,3,5,7,9\}$
Insert the symbol $\subset$ or $ \not\subset $ between each of the following pair of sets:
$\phi \,….\,B$
If $A = \{ 1,\,2,\,3,\,4,\,5\} ,$ then the number of proper subsets of $A$ is
