Question

Which one of the following inequality is represented by the graph given below.

n + 5 < 7
n - 5 = 7
n + 5 = 7
n + 5 > 7

Answer 1

To determine which inequality is represented by the graph, we need to evaluate the given options based on the condition they represent.

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 \( n > 2 \).

To identify the correct inequality, we need to analyze the graph in question.

- If the graph shows a number line with an open circle at 2 and shading to the left, it represents \( n < 2 \).
- If the graph shows a filled circle at 12, it represents \( n = 12 \).
- If it shows a filled circle at 2, it represents \( n = 2 \).
- If it shows an open circle at 2 and shading to the right, it represents \( n > 2 \).

Without access to the actual graph, you’ll need to match the identified characteristics of the graph with the conditions derived from the inequalities.

For example:
- If the graph represents values less than 2, choose \( n + 5 < 7 \).
- If it represents values exactly equal to 2, choose \( n + 5 = 7 \).
- If it represents values greater than 2, choose \( n + 5 > 7 \).

Please refer to the graph to make the correct determination based on these conditions.