Respuesta :
y < -1/2 x + 2
I will try the first-two points. You can then finish.
Let x = 2 and y = 3.
3 < (-1/2)(2) + 2
3 < -1 + 2
3 < 1
False statement. Choice A is not the answer.
Let x = 2 and y = 1
1 < (-1/2)(2) + 2
1 < -1 + 2
1 < 1
False statement. Choice B is not the answer.
Do the same thing with the remaining points. One of the points will make the given inequality a true statement.
The point that is a solution to the linear inequality y < -1/2 x + 2 is (b) (2,1)
How to determine the points?
The inequality is given as:
y < 1/2x + 2
Next, we test the options
A. (2, 3)
3 < 1/2 * 2 + 2
3 < 3 ---- false
B. (2, 1)
1 < 1/2 * 2 + 2
1 < 3 ---- true
Hence, the point that is a solution to the linear inequality y < -1/2 x + 2 is (b) (2,1)
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