Final answer:
The inequality u/-1 - 1 < 2 simplifies to u > -3 upon solving. On a graph, this is represented by shading the area to the right of the vertical line at u = -3.
Step-by-step explanation:
The inequality given is u/-1 - 1 < 2. To solve this inequality on a graph, we need to isolate the variable u. Multiplying through by -1 (and remembering to reverse the inequality sign because multiplying or dividing an inequality by a negative number reverses the inequality), we get:
u + 1 > -2
Next, we subtract 1 from both sides to solve for u:
u > -3
On a number line, we would draw an open circle at -3 and shade everything to the right to represent all the numbers that are greater than -3.
For a Cartesian coordinate system, you would draw a vertical line at u = -3 and shade the area to the right of the line to represent the solution set for this inequality.