Найдите множество решений неравенства: (2x-1)(x+3)>=4.

\[(2x - 1)(x + 3) \geq 4\]

\[2x^{2} + 6x - x - 3 - 4 \geq 0\]

\[2x^{2} + 5x - 7 \geq 0\]

\[D = 25 + 56 = 81\]

\[x_{1} = \frac{- 5 + 9}{4} = 1\]

\[x_{2} = \frac{- 5 - 9}{4} = - 3,5\]

\[Ответ:( - \infty;\ - 3,5\rbrack \cup \lbrack 1; + \infty).\]