Answer:
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Explanation:
Sure! I can help you with that. To graph the inequality y ≤ -2 or y > 1, we will need to create two separate graphs and then combine them.
First, let's graph the inequality y ≤ -2. This represents all the values of y that are less than or equal to -2. We can represent this on a number line or a coordinate plane.
To graph y ≤ -2, we draw a horizontal solid line at y = -2 and shade everything below the line. This includes all the points on the line as well. It would look like this:
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X------------ (y = -2)
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Next, let's graph the inequality y > 1. This represents all the values of y that are greater than 1.
To graph y > 1, we draw a horizontal dashed line at y = 1 and shade everything above the line. This does not include any points on the line itself. It would look like this:
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X------------ (y = -2)
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Now, to combine the two graphs, we shade the area that satisfies both inequalities. In this case, that would be everything above the line y = -2 and everything above the line y = 1. The shaded area would be above y = 1 because it satisfies the condition y > 1.
The final graph would look like this:
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This graph represents the solution to the inequality y ≤ -2 or y > 1.