Final answer:
The statements that are true about the solution set to the system of inequalities are B and C. Option B,C are correct.
Step-by-step explanation:
To determine which of the given statements is true, we need to analyze the solution set to the system of inequalities. Let's examine each statement:
One of the inequalities represented is y > 5: Looking at the solution set, we see that all the points lie on or below the line y = 5. Therefore, this statement is false.
One of the inequalities represented is y ≤ 2x + 5: By observing the solution set, we can see that all the points lie below or on the line y = 2x + 5. Hence, this statement is true.
The point (2, 7) is included in the solution set: Considering the solution set, we can see that the point (2, 7) lies on or below the line. Therefore, this statement is true.
The point (-4, 5) is included in the solution set: Analyzing the solution set, we can observe that the point (-4, 5) lies outside the shaded region. Consequently, this statement is false.
Based on our analysis, statements B and C are true, while statements A and D are false.