Question

Question Use the image to answer the question. What inequality is depicted in the graph? (1 point) x

the graph is a open circle on -5 extending past -8

Answer 1

What do an open circle and arrow pointing to the left indicate?

Answer 2

so what is the answer

Answer 3

Use the image to answer the question. What inequality is depicted in the graph? (1 point) x

the graph is open circle on -9 extending on the right past 0

Answer 4

Based on your description, it sounds like the graph represents the inequality \( x > -5 \). The open circle on \(-5\) indicates that \(-5\) is not included in the solution set, and the extension past \(-8\) suggests that the values of \(x\) continue to increase beyond \(-5\). Therefore, the correct inequality is \( x > -5 \).

Answer 5

In the context of a number line graph:

- An **open circle** indicates that the endpoint is **not included** in the solution set. For example, if there is an open circle at \(-5\), it means \(-5\) itself is not a solution (i.e., \(x \neq -5\)).

- An **arrow pointing to the left** indicates that the values extend to the left of the circle, meaning the solutions include all values **less than** the point at which the open circle is placed.

So, if you have an open circle at \(-5\) with an arrow pointing to the left, it represents the inequality \(x < -5\). This means that all values less than \(-5\) are part of the solution set, but \(-5\) itself is not included.

Answer 6

Based on your description of an open circle at \(-5\) with an arrow pointing to the left, the inequality depicted in the graph is:

\[ x < -5 \]

This indicates that all values less than \(-5\) are included in the solution set, while \(-5\) itself is not included.

Answer 7

Given your description of an open circle at \(-9\) with an arrow extending to the right past \(0\), the inequality depicted in the graph is:

\[ x > -9 \]

This means all values greater than \(-9\) are included in the solution set, but \(-9\) itself is not included.