VectorGreater
VectorGreater[{x, y}] yields True for vectors of length n if xi > yi for all components 1 ≤ i ≤ n.
VectorGreater[{x, y}, κ] yields True for x and y if x - y ∈ interior(κ), where κ is a proper convex cone.
Examples
Check if one vector is componentwise greater than another:
VectorGreater[{{3, 4, 5}, {1, 2, 3}}]
(* True *)VectorGreater[{{3, 2, 5}, {1, 2, 3}}]
(* False *)Please visit the official Wolfram Language Reference for more details.