Solve the inequality and graph the solution.

Question

xminus7 greater than or equals negative 6
.
.
.
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 \( x \geq 1 \).