The problem asks us to graph the inequality $x \le 1$ on a number line. We need to choose the correct endpoint (open or closed circle) and the correct direction of the arrow representing the solution set.

AlgebraInequalitiesNumber LineGraphing
2025/5/5

1. Problem Description

The problem asks us to graph the inequality x1x \le 1 on a number line. We need to choose the correct endpoint (open or closed circle) and the correct direction of the arrow representing the solution set.

2. Solution Steps

The inequality x1x \le 1 means that xx can be any number less than or equal to
1.
* The inequality includes the value 1 because of the "equal to" part (\le). Therefore, we should use a closed circle (filled circle) at x=1x = 1.
* Since xx can be any number less than or equal to 1, we need to draw an arrow that starts at x=1x = 1 and extends to the left (towards negative infinity).
Therefore, we should drag the closed circle to x=1x=1 and the left arrow to start at x=1x=1.

3. Final Answer

The solution is a closed circle at x=1x=1 and an arrow extending to the left.

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