Question

solve the inequality and graph the solution.
\\(-1 < \frac{j}{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: Subtract 1 from both sides

$-1 - 1 < \frac{j}{3} + 1 - 1$
$\implies -2 < \frac{j}{3}$

Step2: Multiply by 3 on both sides

$-2 \times 3 < \frac{j}{3} \times 3$
$\implies -6 < j$
$\implies j > -6$

Answer:

$j > -6$
(For the graph: Place an open circle at $-6$ on the number line, then draw a ray extending to the right.)