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 $C$
$\varnothing$
$A \not\subset \varnothing ,B \not\subset \varnothing ,C \not\subset \varnothing $
Therefore, $\varnothing$ cannot be the universal set for the sets $A , B$ and $C$.
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 $x \in B$
Write the following intervals in set-builder form :
$\left( { - 3,0} \right)$
How many elements has $P(A),$ if $A=\varnothing ?$
List all the elements of the following sers :
$C = \{ x:x$ is an integer ${\rm{; }}{x^2} \le 4\} $
In the following state whether $A=B$ or not :
$A=\{4,8,12,16\} ; B=\{8,4,16,18\}$