Question

What is the system of any qualities associated with the following graphA. X+y<2B. X+y<-2C. X+y>2D. X+y>-2

Answer 1

The system of inequalities is composed of two inequalities.

To determine the expressions associated with the graph, use the boundary lines of each shaded region and according to the position of it determine which inequality is represented.

For example, one of the boundary lines has an equation of:

`y=-x+2`

The shaded region is above the boundary line, and the boundary line is dotted, it means that the inequality represented is greater than. Then, the inequality represented is:

`\begin{gathered} y>-x+2 \\ x+y>2 \end{gathered}`

It means that the correct answer is C.