00:01
This problem wants us to graph the solution to the following system of inequalities, negative 4x plus 3y greater than negative 3, and 6x plus 5y less than 15, and then give the coordinates of one point in the solution set.
00:11
So we're going to start off with our first inequality, and we'll get it in slope -intercept form by adding 4x to both sides, which gives us 3y greater than 4x minus 3.
00:22
Now we'll divide every term by 3, which gives us y greater than 4 thirds x, and then negative 3 divided by 3 is negative 1.
00:31
And now we'll graph this inequality by first starting at our y -intercept, negative 1 here, and then we'll use our slope of 4 thirds, which means we can go up 4, right 3 for a point, and we can also reverse our slope because negative 4 over negative 3 is the same thing as positive 4 thirds, which means we can go down 4, and then left 3 from our point as well, so down 4, left 3 for another point.
00:55
And then since we have an inequality that is not equal to, we're going to make our line using dashed or dotted lines.
01:02
And then we also need to figure out where to shade for our line, and we're looking for the intersection of our shading, so when we figure out where to shade, we'll just do it lightly to start...