# Bounded Region

1. Jun 20, 2007

### Winzer

1. The problem statement, all variables and given/known data
Ok I just wanted to make sure of this one.
Write inequalities to describe the region:
The solid rectangular box in the first octant bounded by the pane x=1 y=2 z=3.

3. The attempt at a solution
I thought of it as the volume of the box bounded boy the planes so:
$$0\leq xyz\leq 6$$

2. Jun 20, 2007

### Hurkyl

Staff Emeritus
So, you are claiming that the point
(1000, -1/100, -1/10)​
lies in the box?

3. Jun 20, 2007

### Winzer

$$0\leq x+y+z \leq 6$$

4. Jun 20, 2007

### Hurkyl

Staff Emeritus
What about the point (100, 200, -300)?

(Oh, and why do you think (1000, -1/100, -1/10) isn't in the box?)

5. Jun 20, 2007

### Winzer

They are all in the box. Should I just make a contraint for each varible?

6. Jun 20, 2007

### Hurkyl

Staff Emeritus
That's certainly a reasonable thing to do.