y

Question

y < &#x02212; 4 x &#x0002B; 4 Which point ( x , y ) is a solution to the given inequality in the x y -plane?

Accepted Answer

Choice D is correct. For a point x , y to be a solution to the given inequality in the xy -plane, the value of the point&rsquo;s y -coordinate must be less than the value of - 4 x + 4 , where x is the value of the x -coordinate of the point. This is true of the point - 4 , 0 because 0 &#60; - 4 - 4 + 4 , or 0 &#60; 20 . Therefore, the point - 4 , 0 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&rsquo;s y -coordinate is greater than the value of - 4 x + 4 for the point&rsquo;s x -coordinate.

Question y-x022