#### Answer

$\left\{8, 9, 10, 11, 12\right\}$

#### Work Step by Step

$N$ is the set of counting or natural numbers.
Natural numbers are $1, 2, 3, ...$
The value of $x$ is greater than or equal to 8 but less than 13.
This means that the possible values of $x$ are $8, 9, 10, 11, 12$.
The roster method lists down all the elements of the set.
Thus, writing the given set using the roster method gives:
$\left\{8, 9, 10, 11, 12\right\}$