Exercise 23 Page 144

We want to solve the given system of inequalities by graphing. Note that both inequalities of the system are quadratic inequalities. Let's graph each of them, one at a time.

Inequality I

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.

Let's draw the graph of the related function, which is $y=\text{-}{x}^2+4x-4.$