For this case we have the following inequality:
[tex]6x + 2y\ \textgreater \ -10
[/tex]
The first thing we must do is to graph the linear function:
[tex]6x + 2y = -10
[/tex]
Then, we must evaluate ordered pairs in the following way:
(x, y)
The ordered pairs that meet the inequality, will be included as part of the graph.
Therefore, the shaded region contains all the ordered pairs that meet the inequality.
Answer:
See attached image.