Question

solve the inequality and graph the solution.

$\frac{n}{2} leq -3$

plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable n

Multiply both sides by 2.
$n\leq - 3\times2$

Step2: Calculate the right - hand side

$n\leq - 6$

To graph:

• The solution of the inequality $n\leq - 6$ is all values of $n$ that are less than or equal to - 6.
• On the number line, we place a closed circle at - 6 (because the inequality includes equality, $\leq$) and draw a ray to the left to represent all the values less than - 6.

Answer:

The solution of the inequality is $n\leq - 6$. On the number line, place a closed circle at - 6 and draw a ray to the left.