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

7 answers

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 \( x > -5 \).

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

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.

so what is the answer

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.

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

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.

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