The number of proper subsets of the set $\{1, 2, 3\}$ is
$8$
$6$
$7$
$5$
(c) Number of proper subsets of the set $(1, 2, 3) =$${2^3} – 1 =7$.
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 $C$
$\{0,1,2,3,4,5,6,7,8,9,10\}$
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 $A \subset B$ and $B \subset C,$ then $A \subset C$
The number of elements in the set $\{x \in R :(|x|-3)|x+4|=6\}$ is equal to
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:
$B \ldots \cdot C$
Write the following as intervals :
$\{ x:x \in R, – 4\, < \,x\, \le \,6\} $
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