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## Homework Statement

Let S denote (x,y,z) in R3 which satisfies the following inequalities:

-2x+y+z <= 4

x-2y+z <= 1

2x+2y-z <= 5

x >=1

y >=2

z >= 3

## Homework Equations

How to find the dimension of the set S ?

## The Attempt at a Solution

I have tried to transform the inequalities into matrix form but I'm not quite sure that this is even the right way.

Please help