Solve and graph the solution to the inequality −6n+3≥21

on your own paper or device. In the box below, give the solution to the inequality and describe how your graph looks.(2 points) in one sentence

1 answer

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.