Okay. I know to move ahead in any math course, you have to build a foundation in order to do so.

That said, it really peeves me when not only a professor during class lecture, or searching math help websites online, or the textbook don’t give clear step-by-step guiding on how to figure something out — such as, in the case I present in this post, hmm… how can I explain it… I guess, how to graph the damn inequality. No example I have seen yet shows this. I even looked in earlier sections in case I may have missed something I needed to know before tackling a more advanced problem.

Anyway, the problem presented is as follows:

Graph the solution of the system

•  -2x + y ≤ -3
• x + 2y ≥ 4

So, as I was saying, I do understand dashed vs solid lines for these graphs, and finally,  that “true” inequalities get shaded on the side of the line containing the test point  and that “false” inequalities get shaded on the side of the line opposite the test point. Other than that, I’m lost. I get how to solve regular linear inequalities, but not how to graph on a coordinate plane.

Hopefully I haven’t lost anyone yet with all my babble or otherwise. I hope someone can point me in the right direction, either by leaving a comment here on this post with direct help or by leaving a comment with websites that can better explain this to me.

Thanks!