00:01
Okay, so we were to graph the inequality y is greater than 4x minus 3.
00:04
So the first thing we do is we graph the boundary, which is what would occur if we replace the inequality with an equal sign.
00:12
And if we want to graph this, we just note that this is a line with y intercept negative 3 and slope 4.
00:23
Okay, so if we go ahead and graph that.
00:36
Now the first question we ask is whether we need to make this a solid or a dash line.
00:41
And we can look from the inequality that we want to graph.
00:43
We want to graph all the points y that are greater than but not equal to 4x minus 3.
00:49
Since 4x minus 3 is the line, we don't include it, so this has to be dashed like so.
00:59
Now the next thing we ask is we note that this boundary line has separated the graph into two regions, region 1 and region 2.
01:09
You could think of the line as the third region, but we already discussed that points can't be on the third region...