Solving two inequalities with three variables

[SilverKing]

Hi everyone,

How can I solve two inequalities with three variables like the following:
x+y+0.94z>=0.9
x+y+0.94z<=1

I need it to be something like x+y+0.94=(some value).

Maybe using constraints?

 

[HallsofIvy]

Hi everyone,

How can I solve two inequalities with three variables like the following:
x+y+0.94z>=0.9
x+y+0.94z<=1

I need it to be something like x+y+0.94=(some value).

Maybe using constraints?

You can't. All you can say is that \(\displaystyle 0.9\le x+ y+ 0.94z\le 1\). That says (x, y, z) lies between two parallel planes (x+ y+ 0.94z= 0.9 and x+ y+ 0.94z= 1). You can't say anything about x and y without reference to z.

(I'm not sure what you mean by "constraints". You could, of course, "constrain" z to be equal to, say, 1, so that \(\displaystyle 0.9\le x+ y+ 0.94\le 1\). I don't see any constraint that would turn that inequality into an equation.)