For inhomogeneous high-Tc superconductors, hole-driven metal-insulator transition (MIT) theory explains that the gradual increase of conductivity with increasing hole doping is due to inhomogeneity with the local Mott system undergoing the first-order MIT and the local non-Mott system. For VO2, a monoclinic and correlated metal (MCM) phase showing the linear characteristic as evidence of the Mott MIT is newly observed by applying electric field and temperature. The structural phase transition occurs between MCM and Rutile metal phases. Devices using the MIT are named MoBRiK.It has been generally accepted that conductivity,σ, and T c for inhomogeneous high-T c superconductors [1] as strongly correlated systems gradually increase with doped hole density in a Mott insulator from under-doping to critical doping [2], although a first-order transition near the Mott insulator had been theoretically suggested [3]. These phenomena seemed to be explained by the Mott-Hubbard (MH) continuous metal-insulator transition (MIT) theory. However, since the MH theory was established for homogeneous system, the theory does not explain the phenomena in inhomogeneous system. The first-order Mott MIT without the structural phase transition (SPT) has not clearly been proved. This paper briefly describes important ideas and physical meanings of the hole-driven MIT theory (extended Brinkman-Rice (BR) picture [4]) named by a reviewer in ref. 7 and explains the above phenomena. An experimental observation is also presented to clarify the Mott MIT.Metal has the electronic structure of one electron per atom in real space, i.e. half filling, which indicates that δq= (q i -q j )=0 where q i and q j are charge quantities at i and j nearest neighbor sites, respectively [4]; there is no charge density wave. The BR picture explains physical properties of a strongly correlated metal, which was developed when n = l for a homogeneous system with one electron per atom, where n is the number of electrons in the Mott system with the electronic structure of metal ( Fig. 1(a) left) and l is the number of lattices in the measurement region [3]. The Mott insulator becomes metal via MIT.When n