Here is the graph for the system of inequalities $y > 2x - 2$ and $y < -\frac{1}{4}x + 1$. The shading indicates the regions defined by the inequalities.

Would you like more details on how to interpret the graph, or have any questions about the steps?

Here are some related questions you might find useful:

1. How do you solve a system of inequalities algebraically?
2. What does it mean when two inequalities overlap on a graph?
3. How would the graph change if the inequalities were reversed (e.g., $y \geq 2x - 2$)?
4. How do you graph a linear inequality with a "greater than or equal to" or "less than or equal to" sign?
5. How do the slopes of lines in inequalities affect the shading regions?

Tip: When graphing inequalities, always pay attention to whether the line is dashed or solid, as this indicates whether the inequality includes the boundary or not.