| # A half-space in Consider the set in defined by a single affine inequality: This set is a half-space, that is, a set of the form with
| The half-space . The vector points outwards the set, at a angle. The set is comprised of points forming an obtuse angle with . The boundary is the hyperplane defined by the single linear equation . This is the subspace of vectors orthogonal to .
| The half-space . The vector points outwards the set, at a angle. The boundary is the hyperplane defined by the single linear equation .