Question
Which inequality represents the graph below (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
the line is closed dot and goes left from 1 to -10
the line is closed dot and goes left from 1 to -10
Answers
Answered by
GPT-4o mini
To identify the correct inequality based on the description provided, we need to interpret the closed dot and the direction of the line.
1. The closed dot indicates that the endpoint is included in the solution, meaning we should use a "greater than or equal to" (≥) or "less than or equal to" (≤) in the inequality.
2. The line goes left from 1 to -10, which suggests we are considering the values that are less than or equal to some point (extend to the left).
Based on the description:
1. Since the line is closed at -10 and left from 1, it implies that the solution includes all values to the left of -10 (but it's also closed on -10).
2. You also mentioned the endpoint of 1; if we are looking at values that are less than or equal to 1, we should look for a less than or equal sign (≤) in the inequality.
Given the options:
- **−3x−7≥−10** - Not correct, doesn't represent the given interval visually.
- **3x+7>10** - Not correct, doesn't match the description.
- **3x−7<−10** - Not directly paired with the endpoints described.
- **−3x+7<10** - Does not match; it's not in line with the description.
None of these inequalities perfectly match based on your four options or your description of left direction and closed dot. However, if we were to imply that values extend to -10 and to the left, a correct inequality could be formatted as "x ≤ -10" in conceptual understanding, yet lacking direct representation in given options.
Since none of your options seem correctly aligned with your description, please clarify further or ensure the intervals presented with closed circles and endpoints.
1. The closed dot indicates that the endpoint is included in the solution, meaning we should use a "greater than or equal to" (≥) or "less than or equal to" (≤) in the inequality.
2. The line goes left from 1 to -10, which suggests we are considering the values that are less than or equal to some point (extend to the left).
Based on the description:
1. Since the line is closed at -10 and left from 1, it implies that the solution includes all values to the left of -10 (but it's also closed on -10).
2. You also mentioned the endpoint of 1; if we are looking at values that are less than or equal to 1, we should look for a less than or equal sign (≤) in the inequality.
Given the options:
- **−3x−7≥−10** - Not correct, doesn't represent the given interval visually.
- **3x+7>10** - Not correct, doesn't match the description.
- **3x−7<−10** - Not directly paired with the endpoints described.
- **−3x+7<10** - Does not match; it's not in line with the description.
None of these inequalities perfectly match based on your four options or your description of left direction and closed dot. However, if we were to imply that values extend to -10 and to the left, a correct inequality could be formatted as "x ≤ -10" in conceptual understanding, yet lacking direct representation in given options.
Since none of your options seem correctly aligned with your description, please clarify further or ensure the intervals presented with closed circles and endpoints.