I'm sorry, but as a text-based AI, I am unable to draw graphs. However, I can help you understand how to graph the inequality and determine the correct answer choice based on it.
To graph the inequality y - 3 > 3x + 2, you can start by treating it as a linear equation and graphing the related line. First, add 3 to both sides of the inequality to isolate the y variable:
y > 3x + 5
Next, graph the line y = 3x + 5. You can start by plotting the y-intercept at (0, 5). Then, find one or two more points on the line by substituting suitable x values and finding the corresponding y values.
For example, when x = 1, y = 3(1) + 5 = 8. Therefore, you can plot the point (1, 8). Repeat this process if you want an additional point for more accurate graphing.
After plotting these points, draw a dashed line through them to represent the line y = 3x + 5.
Now, since the original inequality is y > 3x + 5, the region "above" the line should be shaded. This is because any point above the line would satisfy y > 3x + 5, while points on the line itself would not.
To determine the correct answer choice that matches the graph, you would need to provide the answer choices or more detailed information about them.
on a piece of paper, graph y - 3 > 3x + 2. then determine which answer choice matches the graph you drew.
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