Question

graph.
x ≤ 2
plot the endpoints. select an endpoint to change it from closed to open. select the middle of
the segment, ray, or line to delete it.
← ──┼───┼───┼───┼───┼───┼──→
2 3 4 5 6 7 8
submit

Explanation:

Step1: Analyze the inequality

The inequality is \( x \leq 2 \). On a number line, this represents all real numbers less than or equal to 2.

Step2: Plot the endpoint

For \( x \leq 2 \), the endpoint at 2 should be a closed dot (since the inequality includes equality, \( x = 2 \) is part of the solution). Then, we draw a ray starting at 2 and extending to the left (towards negative infinity) because we want all values less than or equal to 2. Looking at the given number line, the mark at 2 is the relevant endpoint. We place a closed dot at 2 and draw the ray to the left from 2.

Answer:

To graph \( x \leq 2 \) on the number line:

1. Place a closed (filled - in) dot at the point labeled 2 (since the inequality is "less than or equal to", the endpoint is included).
2. Draw a ray (a line with an arrow) starting at the closed dot at 2 and extending to the left (towards the lower numbers) along the number line.