Question

solve the inequality and graph the solution.
1 ≥ \frac{y - 1}{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 3

$1\times3\geq\frac{y - 1}{3}\times3$
$3\geq y - 1$

Step2: Add 1 to both sides

$3+1\geq y-1 + 1$
$4\geq y$ or $y\leq4$

Answer:

The solution of the inequality is $y\leq4$. On the number - line, we plot a closed circle at 4 (since the inequality is $\leq$) and draw a ray to the left of 4.