00:01
This problem wants us to graph the solution to the system of inequalities of y greater than 4x minus 3 and y less than or equal to negative 3x minus 7.
00:08
And for the solution of this system, we are going to show the shared shaded area between these two inequalities.
00:15
And we'll start with our first inequality that has a y -intercept of negative 3.
00:19
So we will start on the y -axis here at negative 3 and then use the slope of positive 4 over understood 1 to make our next point.
00:27
So we would rise 4 and then go to the right 1.
00:31
And we could also reverse that slope and go down 4 and left 1 for a point.
00:35
And then we would connect our points with a dashed line because we do not have greater than or equal to, we just have greater than.
00:42
So the dashed or dotted line represents that this is the boundary but doesn't hold solutions.
00:47
And then after we have completed the line with our dashed or dotted line, we want to also shade one side of our line or the other.
00:55
And one way we can do that is by looking at our y -intercept because we have our y isolated in comparison to our boundary line.
01:02
And this is telling us y is supposed to be greater than our boundary line.
01:06
And looking at our y -intercept, we can say where our y value is greater than and that would be above.
01:11
And that's pointing to the top left side of our line.
01:15
So that would tell us to shade everything above and to the left of our blue line...