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Which of the following sets would have a graph with an open circle on 5 and a ray pointing right on the number line?

Which of the following sets would have a graph with an open circle on 5 and a ray-example-1

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Answer: Choice C
\{x | x \in \mathbb{R}, \ x > 5 \}

The open circle means we do not include the endpoint, hence the use of a greater than symbol. If we were to include the endpoint, then we'd have greater than or equal to. We can rule out choice B due to this reasoning.

The ray pointing to the right indicates we are talking about x values larger than 5, so we can rule out choice A and conclude the answer is C.

Side note: The notation
x \in \mathbb{R} is saying "x is a real number"

User Hamel Kothari
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