-4x > 30
dividing by 4, we get
![\[\begin{array}{*{35}{l}} -4x/4\text{ }>\text{ }30/4 \\ -x\text{ }>\text{ }15/2 \\ x\text{ }<\text{ }\text{ }-15/2 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-7410f43f4b177b8c68c49bbe9c07c900_l3.png "Rendered by QuickLaTeX.com")
(i) x ∈ R
When x is a real number, the solution of the given inequation is (-∞, -15/2).
(ii) x ∈ Z
When, -8 < -15/2 < -7
So when, x is an integer, the maximum possible value of x is -8.
The solution of the given inequation is {…, –11, –10, -9, -8}.