Answer and Explanation:
A mathematical inequality refers to the relation of order that is established between values that are different. This means that one value can be greater or less than another, but not identical. for example:
- a < b, which is defined as a relation in which the first element is less than the second;
- a> b, which implies that the first element is greater than the second.
Geometrically this equation:
[tex]y> 5x-2[/tex]
Represents a line, so, according to the previous definition, all possibles values of y must be greater than [tex]5x-2[/tex], in another words, all values above the line. In interval notation:
[tex](5x-2, \infty)[/tex]
I attached you two plots of this inequality
