Equations-And-Inequalities Question 53
Question: Solution set of the inequality $ \frac{1}{2^{x}-1}>\frac{1}{1-{2^{x-1}}} $ is
Options:
A) $ (1,\infty ) $
B) $ (0,log_2(4/3)) $
C) $ (-1,\infty ) $
D) $ (0,log_2(4/3))\cup (1,\infty ) $
Correct Answer: DShow Answer
Answer:
Solution:
$ \Rightarrow 1<2^{x}<4/3 $ or $ 2^{x}>2 $
$ \Rightarrow x\in (0,log_2(4/3))\cup (1,\infty ) $