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
z >= 3
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.