ПОМАГИТЕ РЕШИТЬ ЛОГАРИФМИЧЕСКИЕ НЕРАВЕНСТВА!!!!!!!!!! Lg2x меньше 2Lg7 + 1 [latex]Log _{ \frac{1}{3} } [/latex] (2x -1) ≥ -2

[latex]1)\; lg\, 2x\ \textless \ 2lg7+1\; ;\; \; \; x\ \textgreater \ 0\\\\lg\, 2x\ \textless \ lg7^2+lg10\\\\lg\, 2x\ \textless \ lg(49\cdot 10)\\\\2x\ \textless \ 490\\\\0\ \textless \ x\ \textless \ 245\\\\2)\; log_{\frac{1}{3}}(2x-1) \geq -2\; ;\; \; 2x-1\ \textgreater \ 0\; ,\; \; x\ \textgreater \ \frac{1}{2}\\\\log_{\frac{1}{3}}(2x-1) \geq log_{\frac{1}{3}}(\frac{1}{3})^{-2}\\\\2x-1 \leq 9\\\\2x \leq 10\\\\x \leq 5\\\\\frac{1}{2}\ \textless \ x \leq 5\\[/latex]