what inequality is depicted in the graph. the graph shows a number line a starting arrow on -8 and a open circle on -5

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1 answer

Based on your description of the graph, it seems that you have a number line with an arrow starting at -8 and an open circle at -5.

  1. The open circle at -5 indicates that -5 is not included in the solution set, which suggests that the inequality will be strict (using "less than" or "greater than," not inclusive).
  2. The arrow starting at -8 suggests that the values to the left of -8 are included in the solution set.

Given this information, the depicted inequality can be written as:

\[ x < -5 \]

And since the starting point is -8, it may imply that:

\[ x < -5 , \text{and} , x \geq -8 \]

However, since you did not mention a second boundary or closed circle other than -5, the primary inequality based on your description is:

\[ x < -5 \]

If there are any additional details or context, feel free to provide them!