Question

What are the characteristics of the graph of the inequality x ≤ -8?

multiple choice.

It will use an open circle.
The ray will move to the right.
It will use a closed circle.
The ray will move to the left.

Answer 1

it will used a closed circle

Answer 2

2 Answers:

Choice C) It will use a closed circle

Choice D) The ray will move to the left

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Step-by-step explanation:

The inequality
`x \le -8` means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was
`x < -8` to exclude the endpoint -8.

The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.

In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.