Question

Write an inequality to represent each situation. Then, graph the solution.
3. Blayton is at most 2 meters above sea level.
7 2 3 4 5

Answer 1

To represent the situation where Blayton is at most 2 meters above sea level, we can translate the phrase "at most" into a mathematical inequality.

Let \( h \) represent Blayton's height in meters above sea level. The inequality can be expressed as:

\[
h \leq 2
\]

### Graphing the Solution:

1. **Set Up the Axes**: Draw a number line with values ranging from, say, -1 to 3 for better clarity. Label the points clearly.

2. **Mark the Critical Point**: Place a solid dot or circle at 2 on the number line. The solid dot indicates that 2 is included in the solution (because of the "less than or equal to" part of the inequality).

3. **Shade the Region**: Shade to the left of the dot at 2, which represents all values less than or equal to 2.

Here's a rough visualization of the graph:

```
--|---|---|---|---|---|---|---
-1 0 1 2 3
●
<---|---|---|---|---|---|---|---
```

In the graph above:
- The solid dot at 2 indicates \( h = 2 \) is included in the solution.
- The shaded area to the left represents all the values of \( h \) that satisfy the inequality \( h \leq 2 \).

This captures the situation where Blayton is at most 2 meters above sea level.