Gujarat BoardEnglish MediumSTD 6MATHSIntegers1 Mark
MCQ
The inequality $2^n> n$ is true for
A
all whole numbers
B
all positive integers
C
all negative integers
✓
all integers
✓
Answer
Correct option: D.
all integers
For $n = 0,$ we have $2^\circ0$ $= 1$ which is $>0$
$= 2$ which is $> 1^1$ For $n = 1$, we have $2$
which is $>−1$ $\frac{1}{2}$ $(- 1) =$ For $n = -1,$ we have $2$
Hence, $2^n> n$ for all integers
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