By algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
How to derive the inequality that represents the graph
Herein we have an statement and an image indicating an inequality of the form y ≤ f(x), where f(x) is the boundary of the inequality. First, we define the linear function behind the boundary:
(x, f(x)) = (1, 2)
2 = a + b
(x, f(x)) = (0, 5)
5 = b
The solution of the system of linear equations is (a, b) = (- 3, 5).
Then, by algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
To learn more on inequalities: https://brainly.com/question/20383699
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