Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
False. The element of $\{a, b, c\}$ are $a, b,$ c. Therefore, $\{a\} \subset\{a, b, c\}$
Which of the following are examples of the null set
$\{ y:y$ is a point common to any two parallellines $\} $
In the following state whether $A=B$ or not :
$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$
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
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{ x:x$ is a circlein the plane $\} \ldots \{ x:x$ is a circle in thesame plane with radius $1$ unit $\} $
$\{ a,e\} \subset \{ x:x$ is a vowelin the English alphabet $\} $
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