Exponential Equations and Inequalities

9000003709

Level: 
C
Solve the following inequality. \[ \left (\frac{2} {3}\right )^{2-3x} < \frac{2^{x+1}} {3^{x+1}} \]
\(\left (-\infty , \frac{1} {4}\right )\)
\(\left (-\frac{1} {4},\infty \right )\)
\((-\infty ,4)\)
\(\left (\frac{1} {4},\infty \right )\)
\((4,\infty )\)
\(\left (-\infty ,-\frac{1} {4}\right )\)