3

I would like to solve the following system of equations:

$$y < -3 + 2x$$ $$y \ge 1-x$$ So I tried the following:

Solve[{y < -3 + 2 x, y >= 1 - x}, {x, y}]

But the following message appears: "The solution set contains a full-dimensional component; use Reduce for complete solution information"

I already plotted it and obtained the solution by the coordinates, but I want to get the specific result.

What can I do?

Thanks

David G. Stork
  • 41,180
  • 3
  • 34
  • 96
Joshua Salazar
  • 733
  • 4
  • 12

2 Answers2

5

Mathematica say to use reduce so use Reduce instead

Reduce[y < -3 + 2 x && y >= 1 - x]
cyrille.piatecki
  • 4,582
  • 13
  • 26
5

Amplifying on cyrille.piatecki's answer

Reduce[{y < -3 + 2 x, y >= 1 - x}, {x, y}]

(*  x > 4/3 && 1 - x <= y < -3 + 2 x  *)

Plot[{1 - x, 2 x - 3},
 {x, 4/3, 5},
 Filling -> {1 -> {2}},
 Frame -> True,
 Axes -> False,
 AspectRatio -> 1,
 PlotLegends -> "Expressions"]

enter image description here

Community
  • 1
Bob Hanlon
  • 157,611
  • 7
  • 77
  • 198