Question

A number line ranges from negative 8 to 8 in increments of 1. An open point is plotted at negative 5. An arrow extends indefinitely left from the open point past negative 8 along the number line.
What inequality is depicted in the graph

Answer 1

The open point plotted at negative 5 indicates that negative 5 is not included in the solution set. The arrow extending indefinitely to the left past negative 8 indicates that all values less than negative 5 are included.

Thus, the inequality that describes the situation depicted in the graph is:

\[ x < -5 \]