Use the image to answer the question.

Question

What inequality does the number line graph?

(1 point)
Responses

x<−7
𝑥
<
−
7
x less than negative 7

x≤−7
𝑥
≤
−
7
x less-than-or-equal-to negative 7

x>−7
𝑥
>
−
7
x greater than negative 7

x≥−7
𝑥
≥
−
7
x greater-than-or-equal-to negative 7

Answer 1

To determine which inequality the number line graph represents, I would need to visualize the graph. However, since I can't see the image, I can guide you on how to identify the correct inequality based on typical number line representations:

1. Open Circle: If the graph has an open circle at -7, it indicates that -7 is not included in the solution, leading to the inequality \( x < -7 \) or \( x > -7 \).
2. Closed Circle: If the graph has a closed circle at -7, it indicates that -7 is included in the solution, leading to the inequality \( x \leq -7 \) or \( x \geq -7 \).
3. Direction of the arrow: The direction of the shading or arrow will indicate whether the inequality is less than or greater than.

Based on this information:

• If it's shaded to the left of -7 with an open circle, select \( x < -7 \).
• If it's shaded to the left of -7 with a closed circle, select \( x \leq -7 \).
• If it's shaded to the right of -7 with an open circle, select \( x > -7 \).
• If it's shaded to the right of -7 with a closed circle, select \( x \geq -7 \).

Determine the characteristics of the number line, and you'll be able to select the correct response.