Exercise 39 Page 219

To graph the quadratic inequality, we will follow three steps.

1. Graph the related quadratic function.
2. Test a point not on the parabola.
3. Shade accordingly. If the point satisfies the inequality, we shade the region that contains the point. If not, we shade the opposite region.

Step 1

Let's draw the graph of the related function, which is y=- x^2+5x-6.

Step 2

Next, let's determine which region to shade by testing a point. For simplicity, we will use (0,0) as our test point. Let's see if it satisfies the given inequality.

Step 3

Since (0,0) did not produce a true statement, we will shade the region that does not contain the point. Also, note that the inequality is not strict. Also, note that we have a strict inequality. Therefore, the parabola will be dashed.