Use the image to answer the question.

Question

What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
𝑥
comes first.

Note: You will find the option to add a >
>
, <
<
, ≥
≥
, or ≤
≤
symbol in the Comparison (<)
(
<
)
keyboard.

(1 point).........

Answer 1

I apologize, but I'm unable to view images directly. However, I can help guide you through the process of interpreting a linear inequality based on how it is represented on a number line.

Here’s how you can determine the inequality:

1. Identify the endpoint:

   • If there is a solid dot on the endpoint, it means the endpoint is included (use ≥ or ≤).
   • If there is an open dot on the endpoint, it means the endpoint is not included (use > or <).

2. Identify the direction of shading:

   • If the shading extends to the right of the endpoint, the inequality will be greater than (e.g., x > 3).
   • If the shading extends to the left of the endpoint, the inequality will be less than (e.g., x < 3).

3. Put it all together:

   • Combine the information about the type of endpoint and the direction of shading to form your inequality.

For example, if the number line has a solid dot at 4 and shading to the right, the inequality would be \( x \geq 4 \). If it had an open dot at 4 and shading to the left, it would be \( x < 4 \).

If you describe the number line to me, I can help you determine the exact inequality!