Write inequalities to describe the region.

[steelphantom]

I'm having some trouble figuring out the inequality that would satisfy this region:

The solid rectangular box in the first octant bounded by the planes x=1, y=2, and z=3.

Is it x >1, y >2 and z > 3? I can't think of anything else, really, and there's no answer in the back of the book since it's one of those darn even problems. Thanks!

 

[0rthodontist]

You want a box, not an infinite space. So the question implies that the box is also bounded by the same three planes that bound the first octant (what are those?)

 

[steelphantom]

Ok, the planes that bound the first octant are x=0, y=0, and z=0.

The inequalities would then be 0<x<1, 0<y<2, and 0<z<3. Correct? Thanks for your help!

 

[0rthodontist]

Yeah, that's right.