Write the following as intervals :
$\{ x:x \in R, - 4\, < \,x\, \le \,6\} $
$\{ x:x \in R, – 4\, < \,x\, \le \,6\} = ( – 4,6]$
Let $A=\{1,2,3,4,5,6\} .$ Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:
$ 0\, ……..\, A $
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 $x \notin B,$ then $x \notin A$
Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:
$\{a, b, c\} \ldots\{b, c, d\}$
Show that the set of letters needed to spell $"\mathrm{CATARACT}"$ and the set of letters needed to spell $"\mathrm{TRACT}"$ are equal.
Which of the following are sets ? Justify your answer.
A collection of most dangerous animals of the world.
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