Respuesta :
The points (0, 0) and (3, -2) are solutions to the system of inequalities y≤-2x+6 and x−y<6 which are a correct options (A) and (C).
What is inequality?
Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y≤-2x+6 and x−y<6.
To determine the solutions, you first have to graph both of the lines in the problem.
y = -2x+6 and x − y = 6. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, 0) and (3, -2) are included in the shaded region they have in common.
Hence, the points (0, 0) and (3, -2) are solutions to the system of inequalities y≤-2x+6 and x−y<6.
Learn more about inequalities here:
brainly.com/question/20383699
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