sat-dog

Choice D is correct. For a point $\left(x,y\right)$ to be a solution to the given inequality in the xy-plane, the value of the point’s y-coordinate must be less than the value of $-4x+4$, where $x$ is the value of the x-coordinate of the point. This is true of the point $\left(-4,0\right)$ because $0<-4\left(-4\right)+4$, or $0<20$. Therefore, the point $\left(-4,0\right)$ is a solution to the given inequality.

Choices A, B, and C are incorrect. None of these points are a solution to the given inequality because each point’s y-coordinate is greater than the value of $-4x+4$ for the point’s x-coordinate.