The problem is to choose the inequality that matches the graph shown on the number line. The number line has an open circle at -1, and the line extends to the left. This represents all numbers less than -1. The possible inequalities are $x < -1$, $x > -1$, $x \le -1$, and $x \ge -1$.

1. Problem Description

The problem is to choose the inequality that matches the graph shown on the number line. The number line has an open circle at -1, and the line extends to the left. This represents all numbers less than -

1. The possible inequalities are $x < -1$, $x > -1$, $x \le -1$, and $x \ge -1$.

2. Solution Steps

The graph shows an open circle at -1, which means -1 is not included in the solution set. This eliminates the inequalities $x \le -1$ and $x \ge -1$.

The line extends to the left of -1, which means the solution set consists of numbers less than -

1. Therefore, the correct inequality is $x < -1$.

3. Final Answer

$x < -1$