The hole for a bird feeder post is 3 feet deep, the top of the post needs to be at least 5 feet above the ground. Identify an inequality that represents the required length of the post.

8 feet

Let d be the distance the poles above the ground. Then d >5. The total length of the pole is d + 3 since The pogues 3 ft into the ground. Adding 3 on both sides of d>5 then give d +3>8 so the length of the post is at least 3 ft

Choice C

Graph with filled in circles at d = 0 and d = 2, shading in between

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Explanation:

d = amount downloaded in gigabytes

The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.