Question

solve the inequality and graph the solution.
$\frac{y - 1}{3}>1$
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: Solve the inequality

Multiply both sides of $\frac{y - 1}{3}>1$ by 3: $y - 1>3$.

Step2: Isolate the variable

Add 1 to both sides: $y>3 + 1$, so $y>4$.

Step3: Graph the solution

On the number - line, since $y>4$, we use an open - circle at $y = 4$ (because 4 is not included in the solution set) and draw a ray to the right of 4.

Answer:

The solution of the inequality is $y>4$. On the number - line, place an open - circle at 4 and draw a ray to the right.