\[x^{2} - 2x - 3 > 0\]
\[D_{1} = 1 + 3 = 4\]
\[x_{1} = 1 + 2 = 3;\]
\[x_{2} = 1 - 2 = - 1.\]
\[(x + 1)(x - 3) > 0\]
\[x < - 1;\ \ x > 3.\]
\[Ответ:x < - 1;\ \ x > 3.\]