Final answer:
The conditions given appear to be incomplete for graphing. They're likely intended to represent linear equations, which would create straight lines when graphed.
Step-by-step explanation:
The task here is to graph two conditions, specifically {(x, y): x - 4} and {(x, y): x + 4}. However, there seems to be an error in the question, as these expressions are incomplete for graphing purposes. They may refer to equations, such as y = x - 4 and y = x + 4, in which case, the graph would consist of two straight lines.
To graph the conditions {(x, y): x - 4} and {(x, y): x + 4}, we can plot the points where x is 4 units greater and 4 units lesser than 0 on the x-axis. The first condition, {(x, y): x - 4}, can be graphed by plotting the points (4, y) and connecting them to form a line. Similarly, the second condition, {(x, y): x + 4}, can be graphed by plotting the points (-4, y) and connecting them to form a line. Plotting appropriate points based on assumed equations y = x - 4 and y = x + 4 would create the graph.
For example, for the condition {(x, y): x - 4}, we can choose two points: (0 - 4, y) = (-4, y) and (8 - 4, y) = (4, y). Plotting these points and connecting them gives us a line. Similarly, for the condition {(x, y): x + 4}, we can choose two points: (0 + 4, y) = (4, y) and (8 + 4, y) = (12, y). Plotting these points and connecting them gives us another line.
To graph these lines, you would plot points where the equation is true and then connect them with a straight edge. For example, for the equation y = x - 4, if x = 0, then y = -4, giving us the point (0, -4). If x = 4, y = 0, resulting in the point (4, 0). By connecting these points, we can draw the line. Repeat this process for the second equation, y = x + 4, to complete the graph.