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U/-1 - 1 < 2
Solve the inequality on a graph.

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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.

User Yam Marcovic
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