ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following system of inequalities:
[tex]\begin{gathered} f(x)>|x| \\ \: g(x)<-\frac{1}{2}x+1 \end{gathered}[/tex]This system can only be solved graphically, therefore
for f(x):
The x and y intercept is (0, 0)
for g(x)
The x-intercept is (2, 0) and y-intercept is (0, 1)
The solution to the system will be the area where the shadows of each inequality overlap
Just like that: