Question

Помогите решить неравенство!! Математики!!

Answer 1

$frac{4^{x}}{4^{x}-3^{x}} textless 4; ;; ODZ:; 4^{x}-3^{x}ne 0; ,; xne 0\\frac{4^{x}-4(4^{x}-3^{x})}{4^{x}-3^{x}} textless 0; ;; ; frac{4cdot 3^{x}-3cdot 4^{x}}{4^{x}-3^{x}} textless 0; |frac{:3^{x}}{:3^{x}}\\frac{4-3cdot (frac{4}{3})^{x}}{(frac{4}{3})^{x}-1} textless 0; ;; ; t=(frac{4}{3})^{x}; to ; ; frac{4-3t}{t-1} textless 0\\frac{3t-4}{t-1} textgreater 0; ,; ; +++(1)---(frac{4}{3})+++; ; left [ {{t textless 1} atop {t textgreater frac{4}{3}}} right. \\a); (frac{4}{3})^{x} textless 1; ,; ; (frac{4}{3})^{x} textless (frac{4}{3})^0; ,; x textless 0$

$b); ; (frac{4}{3})^{x} textgreater frac{4}{3}; ,; x textgreater 1\\xin (-infty ,0)cup (1,+infty )$