Use the image to answer the question.
A coordinate plane shows a graphed dashed line. The x-axis and y-axis both range from negative 10 to 10 in one unit increments. No points are plotted. The graphed line intercepts grid lines at coordinates left parenthesis negative 10 comma negative 2 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 10 comma 2 right parenthesis. The area above the dashed line is shaded.
Determine the whole number unknowns for the solution set of the given graph of an inequality in two variables.
The equation of the dashed line shown in the coordinate plane is y = 2x. Since the area above the dashed line is shaded, the inequality represented by the graph is y > 2x.
Therefore, the whole number solutions for the inequality y > 2x are the points on the dashed line and the points above it. The points on the dashed line are (-10, -2), (0, 0), and (10, 2). The whole number solutions above the dashed line can be represented as y > 2x + 1 (since all the y-coordinates are greater than the corresponding x-coordinate multiplied by 2, with an additional 1 unit).
So, the whole number unknowns for the solution set of the given graph of the inequality y > 2x are the points (-10, -1), (0, 1), and (10, 3).