Solve and graph the solution to the inequality −6n+3≥21 . Then explain what the solution means.(2 points)

Answer 1

To solve the inequality −6n+3≥21, we can isolate the variable n by subtracting 3 from both sides of the inequality:

−6n+3-3≥21-3
-6n≥18

Next, we divide both sides of the inequality by -6:

-6n/-6≥18/-6
n≤-3

So, the solution to the inequality is n≤-3.

To graph this solution on a number line, we plot a closed circle at -3, and draw an arrow to the left to represent all the values less than or equal to -3.

The solution n≤-3 means that any value of n that is less than or equal to -3 will make the inequality −6n+3≥21 true.