Решите неравенство \(\dfrac{4^{x}-1}{4^x-7} >\dfrac{4^{x}+2}{4^x-4}.\) \(x \in \left(0{,}5 \log_2 7; +\infty \right)\) \(x \in \left(-\infty; 1\right] \cup \left[0{,}5 \log_2 7; +\infty \right)\) \(x \in \left(-\infty; 1\right) \cup \left(0{,}5 \log_2 7; +\infty \right)\) \(x \in \left(-\infty; 1\right)\)

Задание

Решите неравенство \(\dfrac{4^{x}-1}{4^x-7} \gt \dfrac{4^{x}+2}{4^x-4}.\)

\(x \in \left(0{,}5 \log_2 7; +\infty \right)\)
\(x \in \left(-\infty; 1\right] \cup \left[0{,}5 \log_2 7; +\infty \right)\)
\(x \in \left(-\infty; 1\right) \cup \left(0{,}5 \log_2 7; +\infty \right)\)
\(x \in \left(-\infty; 1\right)\)