Question

Solve the inequality and graph the solution.
w/2+43≥41

Answer 1

To solve the inequality \( \frac{w}{2} + 43 \geq 41 \), we can follow these steps:

1. **Isolate the term with \( w \)**:
Subtract 43 from both sides of the inequality:
\[
\frac{w}{2} \geq 41 - 43
\]
This simplifies to:
\[
\frac{w}{2} \geq -2
\]

2. **Eliminate the fraction**:
Multiply both sides by 2 (note that since we're multiplying by a positive number, the inequality sign does not change):
\[
w \geq -4
\]

The solution to the inequality is:
\[
w \geq -4
\]

### Graphing the solution:

To graph the solution of \( w \geq -4 \):
- Draw a number line.
- Place a solid dot on \(-4\) (indicating that \(-4\) is included in the solution).
- Shade the line to the right of \(-4\), representing all values greater than \(-4\).

Here's a simple representation of the graph:

```
<----•==========>
-4
```
This indicates that \( w \) can take any value greater than or equal to \(-4\).