Question

solve the inequality and graph the solution.

$\frac{d - 1}{3}<1$

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

$3\times\frac{d - 1}{3}<1\times3$
$d - 1<3$

Step2: Add 1 to both sides

$d-1 + 1<3 + 1$
$d<4$

Answer:

The solution of the inequality is $d<4$. On the number - line, we use an open - circle at $4$ (since $d$ is strictly less than 4) and draw a ray to the left of 4.