Question

solve the inequality and graph the solution.
\\(\frac{y}{4}>2\\)
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 y

Multiply both sides by 4.
$y>2\times4$

Step2: Calculate the right - hand side

$y > 8$

To graph the solution on the number line:

• The inequality is $y>8$, so the endpoint is $y = 8$. Since it is a strict inequality ($>$), we use an open - circle at $y = 8$.
• Then we draw a ray to the right of 8 to represent all the values of $y$ that are greater than 8.

Answer:

The solution of the inequality is $y>8$. On the number line, we place an open - circle at 8 and draw a ray to the right of 8.