btw the linear inequalities for number 4 is 2y≤5

Here is the updated graph of the system of linear inequalities, now including \( y \leq \frac{5}{2} \). The shaded region still represents the solution set where all the inequalities overlap.

### Do you have any further questions or would you like more details?
Here are five related questions for further exploration:

1. How does changing the value in the inequality \( y \leq \frac{5}{2} \) affect the solution region?
2. Can you identify the exact points where the boundary lines intersect within the solution region?
3. How would the graph change if the inequality \( 5y < 8x + 10 \) became \( 5y \leq 8x + 10 \)?
4. What happens to the solution region if we reverse one of the inequality signs (e.g., \( y > \frac{5}{2} \))?
5. How would you solve a real-world optimization problem using this system of inequalities?

### Tip:
When analyzing the graph of a system of inequalities, focus on understanding how each inequality individually affects the region and how they collectively determine the feasible region.

Explore the graph of the system of linear inequalities, now including the inequality y ≤ 5/2. Understand how this inequality affects the solution region and the overlap of inequalities. Suitable for high school students studying linear inequalities.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation