Some solutions for the given linear inequality:
y < 0.5x + 2
are:
{(0, 1), (1, 2), (2, 2)}
Here we have the linear inequality:
y < 0.5x + 2
To find the points we can evaluate the right side, and then find values of y such that the inequality is true.
For example, if we use x = 0, then we get:
y < 0.5*0 + 2
y < 2
A value of y such that this is true is y = 1
Then the point (0, 1) is a solution of the inequality.
Another example can be with x = 1:
y < 0.5*1 + 2
y < 2.5
This time we can select y = 2, then the solution is (1, 2).
To get a final solution we can evaluate in x = 2
y < 0.5*2 + 2
y < 3
Then a possible solution is y = 2 again, so the solution is (2, 2).
Notice that for each of these values of x, there are a lot of other points that are solutions.
If you want to learn more about inequalities:
https://brainly.com/question/18881247
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