Реши неравенство: x+12−x−23<1+2x. x∈−∞;−111 x∈111;+∞ x∈−111;+∞ x∈111;+∞ x∈−111;+∞ x∈−∞;111

Задание

Реши неравенство: \(\frac{x+1}{2} - \frac{x-2}{3} \lt 1 + 2x\).

\(x \in \left(-\infty; -\frac{1}{11}\right)\)
\(x \in \left( \frac{1}{11} ; +\infty \right)\)
\(x \in \left[ -\frac{1}{11}; +\infty \right)\)
\(x \in \left[ \frac{1}{11}; +\infty \right)\)
\(x \in \left(-\frac{1}{11}; +\infty\right)\)
\(x \in \left(-\infty; \frac{1}{11}\right)\)