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14. The solution set to the system of inequalities is shown. Which of the following statements is true? A. One of the inequalities represented is y > 5. B. One of the inequalities represented is y ≤ 2x + 5. C. The point (2, 7) is included in the solution set. OD. The point (-4, 5) is included in the solution set. ​

14. The solution set to the system of inequalities is shown. Which of the following-example-1
User Npjc
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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.

User Ahmed Dhanani
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