Question

If m<0 and n>0, which of the following is true? A. M/n =0 B. 1/m < 1/n C. Mn > 0 D. 1/m > 1/n

Answer 1

Answer is `B`.

Explanation:

As `m<0`, `m` is negative and as `n>0`, `n` is positive

Hence we cannot have `m/n=0` and `mn>0` (as `mn` will be negative. This means we cannot have `A` and `C`.

`m<0` and `n>0` also means `n>m`

dividing both sides by `n`, a positive number we get

`1>m/n` and as we divide this by `m`, a negative number,

we get `1/m < 1/n`

Hence answer is `B`.