Final answer:
To shade the region in the xy-plane represented by the inequality y < 2 - (1/2)x, graph the line y = 2 - (1/2)x and shade the area below the line.
Step-by-step explanation:
To shade the region in the xy-plane represented by the inequality y < 2 - (1/2)x, you need to graph the line y = 2 - (1/2)x and shade the area below that line. The line has a y-intercept of 2 and a slope of -1/2. Start by plotting the y-intercept (0, 2), then use the slope to find additional points. Connect the points to sketch the line, and shade the area below it.