Question

solve the inequality and graph the solution.\\(
\frac{w - 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: Multiply both sides by 3

$\frac{w-1}{3} \times 3 > 1 \times 3$
Simplifies to: $w - 1 > 3$

Step2: Add 1 to both sides

$w - 1 + 1 > 3 + 1$
Simplifies to: $w > 4$

Answer:

The solution to the inequality is $w > 4$. For the graph: plot an open circle at 4 on the number line, then draw a ray extending to the right from this open circle.