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Describe in words the region of $ \mathbb{R}^3 $ represented by the equation(s) or inequality.

$ z \ge -1 $

The region is the set of all points $(x, y, z) \in \mathbb{R}^{3}$ such that $z \geq-1$

This region is the collection of all points above and on the plane $z=-1$

Vectors

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Campbell University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

All right. So if we look at this picture, we've got the Z axis here. Why Zaks Z is equal to one. Is this plane you can imagine down here. Intersecting at Z equals negative one. They want everything above this plane.