$n ≠ 0$

Level 2

If $n ≠ 0$ , which of the following must be greater than $n$ ?

I $2n$
II $n^{2}$

I II None All

1 solution

Wenn Chuaan Lim
Oct 12, 2014

In case I, if $n$ is negative, then $2n$ is less than $n$ .
In case II, if $n$ is a fraction such as ½ then $n^{2}$ will be less than n.
Therefore, none of them MUST be greater than $n$ .

n ≠ 0 n ≠ 0 n  ​ = 0

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$n ≠ 0$