Рациональные неравенства. Задача 5

ОТВЕТ: \(\left( {-2;\;\infty } \right).\)

\(-6-2x < 3x + 4\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,-5x < 10\left| {:\left( {-5} \right) < 0\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,x > -2\,\,\,\,\,\,\, \Leftrightarrow \,\,\,\,\,\,\,x\, \in \,\left( {-2; + \infty } \right).} \right.\)

Ответ: \(\left( {-2;\; + \infty } \right).\)