Answer
$n\geq -7$
The graph is shown below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/5264827c-2b9c-4c71-9995-abe4c14d5996/result_image/1663340792.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20250115%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250115T092124Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=5a98bed1c0263934c387c8bff854ec8a9b3a74dda95a4e2784d3cc9382a6e64f)
Work Step by Step
The given inequality is
$\Rightarrow \frac{n}{7}\geq -1$
Multiply each side by $7$.
$\Rightarrow 7\cdot \frac{n}{7}\geq 7\cdot(-1)$
Simplify.
$\Rightarrow n\geq -7$
Hence, the solution is $n\geq -7$.