Question

Solve the inequality and graph the solution.   
xminus6 greater than or equals negative 8

Answer 1

To solve the inequality \( x - 6 \geq -8 \), follow these steps:

1. **Add 6 to both sides** of the inequality to isolate \( x \):
\[
x - 6 + 6 \geq -8 + 6
\]
\[
x \geq -2
\]

2. The solution to the inequality is:
\[
x \geq -2
\]

**Graphing the Solution:**
- On a number line, you would draw a solid dot (or solid circle) at \(-2\) to indicate that \(-2\) is included in the solution (since the inequality is "greater than or equal to").
- Then you would shade the line to the right of \(-2\) to indicate all numbers greater than \(-2\).

Here's a simple representation of the graph:

```
<---|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|----->
-4 -3 -2 -1 0 1 2 3 4
●==================>
```

The shaded area starting from \(-2\) and extending to the right represents all values that satisfy the inequality \( x \geq -2 \).