Answer:
D
Step-by-step explanation:
When graphing inequalities:
- < or > : dashed lines
- ≤ or ≥ : solid line
- < or ≤ : shading under the line
- > or ≥ : shading above the line
Given inequalities:
[tex]\begin{cases}y > \dfrac{1}{2}x-1\\\\y\leq -x+1\\\\y > -2x-1 \end{cases}[/tex]
From inspection of the given graphs, the red dashed line is the first inequality as it is the only inequality with a positive slope.
The blue sold line is the second inequality, as it is the only inequality with the sign that suggest a solid line.
Therefore, by process of elimination, the green dashed line is the third inequality.
Using the inequality signs and their definitions for shading, find the graph that has:
- Shading above the red dashed line
- Shading below the blue solid line
- Shading above the green dashed line
The only graph that matches these conditions is graph D
