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).
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.
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