This week in Pre Calc we learned about graphing inequalities among other things, but that’s what I’ll focus on in this post.

Here’s an example of an inequality that we can graph fairly simply.

First, we can tell that we’ll be graphing with a dashed or broken line because the inequality is not greater than or equal to.

After that, we’ll divide by 8 to simplify and move the terms into a position that we can graph easily, slope intercept. which becomes y>-2x+4$

Now we can easily graph it, we know the 2x is the rise over run, -2/1 (2 down one over) and that the y-intercept is 4. So we start there.

The Final step is to figure out which side of the graph is shaded. To do this we’ll use a test point. 0,0.

The equation becomes is 0 greater than 4? no, so the solution will be above the line because we know the coordinate 0,0 is not included in the solution.

So we’ll shade above the line.