A) \[x<1\]
B) \[|x|<1\]
C) \[|x|\,\,<\frac{5}{4}\]
D) \[|x|<\frac{4}{5}\]
Correct Answer: C
Solution :
The given expression can be written as \[{{5}^{-1/2}}{{\left( 1+\frac{4}{5}x \right)}^{-1/2}}\]and it is valid only when \[\left| \frac{4}{5}x \right|<1\Rightarrow |x|<\frac{5}{4}\]
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