Question

An Internet service provider offers a plan that allows a subscriber to download 2 GB or less of content per month. Define a variable for the amount downloaded. Identify the inequality and the graph that represents the content that can be downloaded.

Answer 1

Answer: Choice C

$0 \le d \le 2$

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 $0 \le d \le 2$

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.