To find the solution set for the system of inequalities:

1. Inequality 1: $x - y < 1$
2. Inequality 2: $4x + 5y \geq 14$

The solution set of the system is the set of ordered pairs $(x, y)$ that satisfy both inequalities.

Thus, we can fill in the blanks as follows:

The solution set of the system is the set of ordered pairs that satisfy $x - y < 1$ and $4x + 5y \geq 14$.

Want More Help?

Would you like to see the graphical representation of these inequalities or further explore their implications? Here are some related questions:

1. What is the graphical representation of these inequalities?
2. How can we determine the boundary lines for each inequality?
3. What are some specific ordered pairs that satisfy both inequalities?
4. How do these inequalities define a feasible region?
5. What methods can be used to solve systems of inequalities?

Tip: Always graph inequalities to visualize the solution set and confirm where the regions overlap.