Question

solve the inequality and graph the solution.
\frac{y}{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: Multiply both sides by 2

$$\frac{y}{2}\times2\leq3\times2$$

Step2: Simplify

$$y\leq6$$

To graph \(y\leq6\) on the number - line:

• The endpoint is at \(y = 6\). Since the inequality is \(\leq\) (less than or equal to), the endpoint is a closed circle.
• The solution set includes all real numbers less than or equal to 6, so we draw a ray starting at 6 and going to the left.

Answer:

The solution of the inequality \(\frac{y}{2}\leq3\) is \(y\leq6\). On the number - line, we have a closed circle at \(6\) and a ray extending to the left.