Answer:In this graph, the shaded region above both lines represents the solution to the system of inequalities.
Step-by-step explanation: graph the line Y = 1/2x + 1. This line has a slope of 1/2 and a y-intercept of 1. We can start by plotting the y-intercept at (0, 1), then using the slope to find more points and draw the line.
Next, let's graph the line y = -x - 2. This line has a slope of -1 and a y-intercept of -2. We can start by plotting the y-intercept at (0, -2), then use the slope to find more points and draw the line.
Now, we need to shade the region that satisfies both inequalities. Since the first inequality is Y ≥ 1/2x + 1, we will shade the region above or on the line Y = 1/2x + 1. Since the second inequality is y > -x - 2, we will shade the region above the line y = -x - 2.
The shaded region that satisfies both inequalities is the area above both lines.
Here is an example of how the graph might look like:
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