We know that in an Euclidean space E ^ n is a multifaceted set that can be represented as AX ≥ b, in which A is a matrix and b is a vector in IR ^ m. And a half-space is expressed as k≥px in which p is an invertible vector in E ^ n and K is a scalar. How can one prove that a half-space can be expressed by the inequality of the parcel, while here b is a vector, but k is a scalar?