Question

Solve the inequality and graph the solution.   
xminus6 greater than or equals negative 4

Answer 1

To solve the inequality \( x - 6 \geq -4 \), follow these steps:

1. **Isolate \( x \)**: Add 6 to both sides of the inequality.
\[
x - 6 + 6 \geq -4 + 6
\]
This simplifies to:
\[
x \geq 2
\]

2. **Graph the solution**:
- To graph \( x \geq 2 \), draw a number line.
- Place a solid dot on the number 2 (indicating that 2 is included in the solution) and shade the line to the right of 2, indicating that all numbers greater than 2 are included in the solution.

In conclusion, the solution to the inequality \( x - 6 \geq -4 \) is \( x \geq 2 \).

Here's a simple representation of the graph:

```
<---|---|---|---|---|---|---|---|---|--->
-2 0 2 4 6 8 10
●========>
```
The solid dot at 2 indicates that 2 is part of the solution, and the arrow indicates all numbers greater than 2 are also included.