Answer
Refer to the graph below.
Work Step by Step
To graph the system, perform the following steps:
(1) Graph the line $x+2y=8$ using broken lines since the inequality involves $\lt$, and shade the region below the line.
(2) Graph the equation $y=x^2$ using a solid smooth curve. Since the inequality involves $\ge$, shade the region above the curve.
Use a graphing utility to complete the graph.
The solution to the system is the region common to both graphs (under the broken lines and on or above the parabola).
Refer to the graph above.
