The graph of the inequality y + 1 > 2(x-2) is graph A.
To graph the inequality, we can first graph the boundary line, which is the equation y + 1 = 2(x-2). This line has a slope of 2 and a y-intercept of 1. We can plot two points on the line, such as (2,1) and (0,-1), and then draw a line through the two points.
Next, we need to shade the region that satisfies the inequality. The inequality y + 1 > 2(x-2) is true for all points that are above the boundary line. Therefore, we need to shade the region above the line.
The other graphs do not match the inequality. For example, graph B shows a region below the line y + 1 = 2(x-2), which does not satisfy the inequality.
Therefore, the graph of the inequality y + 1 > 2(x-2) is graph A.