Question

Assuming that $M$ is a whole number and can take only one value, which of the following inequalities represent $M$?

• A. $48<M\le 50$
• B. $48<M<50$

Answer 1

The correct option is B $48<M<50$

We know that $M$ is a whole number.

1. $48<M\le 50$

This represents $M$ lies between $48$ and $50$, including $50$ itself.
$\therefore$ There are two possibilities. $M$ can be either $49$ or $50.$

2. $48<M<50$

This represents $M$ lies between $48$ and $50$, excluding $48$ and $50.$
$\therefore$ There is only one possibility, i.e., M can be only 49.

Hence, the required answer is $48<M<50.$