 Show a separate graph of the constraint lines and the solutions that satisfy each of the following constraints. (Use A for the horizontal axis and B for the vertical axis.)

A ≥ 0.25 (A + B)


The graph above shows the constraint line \( B = 3A \) in blue. The shaded region represents the area where \( B \leq 3A \), which satisfies the given inequality. This region includes all points on and below the line.

Would you like a detailed explanation of any specific part of this process or have any further questions?

Here are some related questions to consider:
1. How do you graph constraints with different types of inequalities (e.g., \( \geq, \leq \))?
2. How would the graph change if the inequality was \( B \geq 3A \)?
3. How can you represent multiple constraints on the same graph?
4. How do you determine the feasible region when solving linear programming problems?
5. What are the steps to finding the intersection points of multiple constraint lines?

**Tip:** When graphing inequalities, always check whether the region should be above, below, or on the line to correctly shade the solution area.

Show a separate graph of the constraint lines and the solutions that satisfy each of the following constraints. (Use A for the horizontal axis and B for the vertical axis.) A ≥ 0.25 (A + B)

Learn how to graph the linear inequality A ≥ 0.25(A + B) using a separate graph to illustrate the constraint line and the solutions. This problem covers graphing linear inequalities and identifying the feasible region. Suitable for students in Grades 9-12.

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