Question

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

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

Step2: Multiply by 3 on both sides

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

Step3: Graph the solution

On the number line, place an open circle at $-6$ (since the inequality is strict, no equality) and draw an arrow pointing to the right to represent all values greater than $-6$.

Answer:

$j > -6$
Graph: Open circle at $-6$, arrow pointing right.