Write the following sets in roster form :
$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $
$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that the sumof its digits is $8\} $
The elements of this set are $17,26,35,44,53,62,71$ and $80$ only.
Therefore, this set can be written in roster form as $C=\{17,26,35,44,53,62,71,80\}$
Write the following intervals in set-builder form :
$\left[ { - 23,5} \right)$
Which of the following sets are finite or infinite.
$\{1,2,3, \ldots 99,100\}$
For an integer $n$ let $S_n=\{n+1, n+2, \ldots \ldots, n+18\}$. Which of the following is true for all $n \geq 10$ ?
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
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:
$\phi \,....\,B$