Solve the inequality and graph the solution.
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.
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