Question

Which inequality represents the graph below

graph line shows from the right 10 then it goes down to -10

(1 point)
Responses

−3x−7≥−10
negative 3 x minus 7 is greater than or equal to negative 10

3x+7>10
3 x plus 7 is greater than 10

3x−7<−10
3x−7<−10

−3x+7<10

Answer 1

To determine the correct inequality that represents the graph you described, let's analyze the details:

- The graph starts at \(x = 10\) and a vertical line extending downwards to \(y = -10\).
- This suggests the relationship is likely between two values of \(x\) and is either a "greater than" or "less than" statement depending on the slope of the line.

Since the graph shows a downward slope starting from the right (10) going to where it touches a value (-10):

1. We need to find out which inequality correctly represents that relationship, based on the options provided.
2. The inequality must relate the variable \(x\) with a downward trend.

Reviewing the options:

1. **−3x−7≥−10**
2. **3x+7>10**
3. **3x−7<−10**
4. **−3x+7<10**

The overall trend of the graph shows a downward slope from right to left, indicating a negative relationship.

The correct choice based on this analysis would likely be:

**−3x+7<10**

This represents a scenario where \(y\) values are less than \(10\) as \(x\) increases, confirming the behavior of a downward trend when evaluated.

So, the answer is:

**−3x+7<10**