HalfSpace

HalfSpace[n, p] represents the half-space of points x such that n.(x-p)≤0.

HalfSpace[n, c] represents the half-space of points x such that n.x≤c.

Examples

Define a half-space:

hs = HalfSpace[{0, 0, 1}, {0, 0, 0}]
(* HalfSpace[{0, 0, 1}, {0, 0, 0}] *)

Visualize a half-space:

RegionPlot3D[HalfSpace[{1, 1, 1}, 1], {x, -2, 2}, {y, -2, 2}, {z, -2, 2}]

Please visit the official Wolfram Language Reference for more details.