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A)  

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Explanation:

The left portion of the graph is to indicate values smaller than -4. We exclude the endpoint -4 due to the open hole. So we don't have "or equal to" as part of the inequality sign.

In contrast, we do include the endpoint 3 since there's a filled in endpoint here. The right side of the shaded graph shows values that are 3 or larger. So that's why we have which says "x is greater than or equal to 3".

Put those two pieces together and we end up with

You must use "or" instead of "and" because they mean different things. Saying is not correct because there are no numbers that are both less than -4 and greater than or equal to 3 at the same time. Visually there are no numbers that are to the left of -3 and also to the right of 3 at the same time.

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