Answer:
These three points, (1,1), (3,6), and (0,3), are non-solutions in the graph of the given inequalities.
Explanation:
To choose three non-solutions in this graph of inequalities, we need to consider points that do not satisfy the given equations or conditions.
Consider the point (1,1). For the first line (y = 2x), when x = 1, y = 2(1) = 2, which is not equal to -4 or -1. So, (1,1) is a non-solution.
Consider the point (3,6). For the second line (y = 1/2x), when x = 3, y = (1/2)(3) = 3/2, which is not equal to 0. So, (3,6) is a non-solution.
Consider the point (-2,-5). For both lines, when x = -2, the y-values are as follows:
For the first line (y = 2x), y = 2(-2) = -4.
For the second line (y = 1/2x), y = (1/2)(-2) = -1.
Since (-2,-5) satisfies both equations, it's actually a valid solution, so let's choose another point instead.
Consider the point (0,3). For the first line (y = 2x), when x = 0, y = 2(0) = 0, which is not equal to -4 or -1. So, (0,3) is a non-solution.
These three points, (1,1), (3,6), and (0,3), are non-solutions in the graph of the given inequalities.