The image you uploaded shows a system of inequalities that need to be graphed. The inequalities are:

1. $y > 5x - 4$
2. $y < -2x + 5$

To solve this graphically:

1. Graph the first inequality:

   • The equation of the line is $y = 5x - 4$.
   • Since it's a strict inequality $>$, the line will be dashed, indicating the region does not include the line itself.
   • The area above this line represents the solution.

2. Graph the second inequality:

   • The equation of the line is $y = -2x + 5$.
   • Since it's a strict inequality $<$, this line will also be dashed.
   • The area below this line represents the solution.

The solution to the system will be the region where both shaded areas overlap.

Would you like to go over the steps for plotting these inequalities, or do you need more information about the process?

Here are 5 related questions:

1. How do you graph linear inequalities on a coordinate plane?
2. What is the difference between using a dashed and solid line when graphing inequalities?
3. How can you find the intersection of two linear inequalities?
4. What would the solution look like if the inequalities were non-strict ($\geq$ or $\leq$)?
5. How does the slope-intercept form help in graphing linear inequalities?

Tip: Always check the signs of the inequality when determining which side of the line to shade!