.
Describe, in words or a graph, the region in
3 D space represented by the inequality
.
Solution:
The inequality |z| <= 2 is satisfied by all points (x,y,z) in 3-space with x arbitrary, y arbitrary,
and z beween -2 and +2. Geometrically, this is the solid, infinite block bounded by the planes
z = -2 and z = 2. A small part of this block is graphed below.
