Summary: The authors discuss oscillatory properties of the following higher-order neutral forced functional-differential inequalities \[ [x(t)+ p(t) x(t- \tau)]^{(n)}+ f(t, x(g(t)))\leq (\geq) H(t),\quad n\text{ is even} .\tag{\(*\)} \] A group of sufficient conditions are established for an equation corresponding to \((*)\) and for certain slightly generalized form of the equation. Two examples are given and proved.