Respuesta :

Answer: D

Step-by-step explanation:

The orange color is represented by the bottom line, which is y > x - 2

The purple color is represented by the top line, which is y < x + 1

How do we know the equations of those lines?

  • The equations can be written in the form y = mx + b where;
  • m = slope
  • b = y-intercept

The orange line:

  • crosses the y-axis at -2 -->  b = -2
  • has a rise over run of 1 ->  m = 1  
  • --> y = x - 2
  • the line is dashed and is shaded above so y > x - 2

The purple line:

  • crosses the y-axis at +1 -->  b = 1
  • has a rise over run of 1 ->  m = 1  
  • --> y = x + 1
  • the line is dashed and is shaded below so y < x + 1


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