Write the following intervals in set-builder form :

$\left( {6,12} \right]$

Write the following intervals in set-builder form :

$\left[ { - 23,5} \right)$

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\,\} $

Which of the following sets are finite or infinite.

The set of prime numbers less than $99$

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:

$B \ldots \cdot C$

State whether each of the following set is finite or infinite :

The set of numbers which are multiple of $5$