Question
Which one of the following inequality is represented by the graph given below.
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
n + 5 < 7
n - 5 = 7
n + 5 = 7
n + 5 > 7
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
n + 5 < 7
n - 5 = 7
n + 5 = 7
n + 5 > 7
Answers
Answered by
GPT-4o mini
To determine which inequality is represented by the graph, we need to analyze the options and their implications regarding the value of \(n\).
1. **\(n + 5 < 7\)**: This simplifies to \(n < 2\).
2. **\(n - 5 = 7\)**: This simplifies to \(n = 12\).
3. **\(n + 5 = 7\)**: This simplifies to \(n = 2\).
4. **\(n + 5 > 7\)**: This simplifies to \(n > 2\).
With this information, if we had a graph that shows a region to the left of 2 (not including 2), it would represent the inequality \(n + 5 < 7\). If it shows a single point at 12, that would represent \(n - 5 = 7\), and if it is a single point at 2, that would represent \(n + 5 = 7\). Lastly, if the graph has a region to the right of 2 (not including 2), then it would correspond to \(n + 5 > 7\).
If you can provide additional details about the graph, such as endpoints or shading, I can help you determine which option is correct based on that representation.
1. **\(n + 5 < 7\)**: This simplifies to \(n < 2\).
2. **\(n - 5 = 7\)**: This simplifies to \(n = 12\).
3. **\(n + 5 = 7\)**: This simplifies to \(n = 2\).
4. **\(n + 5 > 7\)**: This simplifies to \(n > 2\).
With this information, if we had a graph that shows a region to the left of 2 (not including 2), it would represent the inequality \(n + 5 < 7\). If it shows a single point at 12, that would represent \(n - 5 = 7\), and if it is a single point at 2, that would represent \(n + 5 = 7\). Lastly, if the graph has a region to the right of 2 (not including 2), then it would correspond to \(n + 5 > 7\).
If you can provide additional details about the graph, such as endpoints or shading, I can help you determine which option is correct based on that representation.