Solve the inequality and graph the solution.

Question

6n+18≤6
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer 1

To solve the inequality 6n + 18 ≤ 6, we first subtract 18 from both sides of the inequality:

6n ≤ 6 - 18

Simplifying, we have:

6n ≤ -12

Next, divide both sides of the inequality by 6:

n ≤ -12/6

Which simplifies to:

n ≤ -2

To graph the solution, we draw a number line and plot an arrow pointing to the left from -2, indicating that all values less than or equal to -2 are included in the solution set. Since the inequality is "less than or equal to", we use a closed dot to represent -2.

Here is the graph:

<-----------------------------●--->
-2