Question

Which inequality represents the graph below: (1 point) Responses 3x−7≤−10 3 x minus 7 is less than or equal to negative 10 3x+7>10 3 x plus 7 is greater than 10 −3x−7≥−10 negative 3 x minus 7 is greater than or equal to negative 10 −3x+7<10

Answer 1

It is a shaded circle starting at positive 1 going left

Answer 2

To determine which inequality represents the graph, we can analyze the given options methodically. However, as I cannot see the graph, I'll provide a solution process you can follow to figure it out.

1. **Identify the Boundary Line**: Look at the graph to see if there is a solid line (indicating "greater than or equal to" or "less than or equal to") or a dashed line (indicating strict inequalities).

2. **Determine the Direction**: Check which side of the boundary line the shaded area is on. If the region is above the line, look for greater than inequalities. If it’s below, look for less than inequalities.

3. **Check the Values**: You might want to check certain points that are obviously in the shaded region and some that are outside to see which inequalities hold true.

Using this information, you can evaluate each of the provided inequalities to see which one accurately represents the graph based on whether the shaded region is above or below the boundary line and the nature of the boundary (solid or dashed).

If you can describe or provide additional details about the graph, I can help narrow it down further!

Answer 3

Based on your description of a shaded circle starting at positive 1 and going left, it indicates that the graph represents a region including and to the left of a certain point.

In this case, since the shaded circle starts at \( x = 1 \), it suggests the inequality is involving \( x \leq 1 \). However, since we need to connect this to the options provided, let’s consider the inequalities.

From your original options:
1. \(3x - 7 \leq -10\)
2. \(3x + 7 > 10\)
3. \(-3x - 7 \geq -10\)
4. \(-3x + 7 < 10\)

We can analyze these one by one:

1. **For \(3x - 7 \leq -10\)**:
\[
3x \leq -3 \implies x \leq -1
\]
(This does not correspond to \( x \leq 1\))

2. **For \(3x + 7 > 10\)**:
\[
3x > 3 \implies x > 1
\]
(This also does not correspond to \( x \leq 1\))

3. **For \(-3x - 7 \geq -10\)**:
\[
-3x \geq -3 \implies x \leq 1
\]
(This inequality fits your description, indicating the region starting from 1 going left)

4. **For \(-3x + 7 < 10\)**:
\[
-3x < 3 \implies x > -1
\]
(This does not correspond to \( x \leq 1\))

### Conclusion:
The inequality that represents your graph of a shaded circle starting at positive 1 going left is:

**\(-3x - 7 \geq -10\)**

This inequality correctly expresses values for \( x \) that are less than or equal to 1.