Question

Solve the inequality and graph the solution.   
xminus7 greater than or equals negative 6
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Question content area right
Part 1
The solution is x greater than or equals
  
enter your response here.

Answer 1

To solve the inequality \( x - 7 \geq -6 \), follow these steps:

1. **Add 7 to both sides** of the inequality to isolate \( x \):
\[
x - 7 + 7 \geq -6 + 7
\]
This simplifies to:
\[
x \geq 1
\]

So the solution is \( x \geq 1 \).

### Graphing the Solution:
To graph the solution \( x \geq 1 \):

1. Draw a number line.
2. Locate the point \( 1 \) on the number line.
3. Since the inequality includes \( \geq \), you will use a closed dot at \( 1 \) to indicate that \( 1 \) is included in the solution.
4. Shade the region to the right of \( 1 \) to indicate all numbers greater than \( 1 \) are included in the solution.

The final answer is:
- The solution to the inequality is \( x \geq 1 \).