Question

Select the point that is a solution to the system of inequalities​

Answer 1

Answer: B.  (-1, 0)

This point is below both the red diagonal line and the blue parabola. We know that the set of solution points is below both due to the "less than" parts of each inequality sign.  

In contrast, a point like (2,2) is above the parabola which is why it is not a solution. It does not make the inequality $y \le x^2-3x$ true. So this is why we can rule choice A out.

Choice C is not a solution because (4,1) does not make $y \le -x+3$ true. This point is not below the red diagonal line. We can cross choice C off the list.

Choice D is similar to choice A, which is why we can rule it out as well.