To solve the inequality \(-6n + 3 \geq 21\), first, subtract 3 from both sides:
\[ -6n \geq 21 - 3 \]
\[ -6n \geq 18 \]
Next, divide both sides by -6, remembering to flip the inequality sign:
\[ n \leq -3 \]
The solution to the inequality is \(n \leq -3\).
Graphically, this would be represented on a number line with a closed circle at -3 (indicating -3 is included in the solution) and a line extending to the left, showing all values less than or equal to -3.