2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124847Bell type inequalities are used to test local realism against quantum theory.In this paper, we consider a two party system with two settings and two possible outcomes on each side, and derive equalities in local theories which are violated by quantum theory by a factor of 1.522 tolerating 0.586 fraction of white noise admixture which is twice that of the previous results.8 pages, RevTeX4Quantum Physicstext