Mark the correct alternative in each of the following:
Question:

Mark the correct alternative in each of the following:

Given that $x, y$ and $b$ are real numbers and $x<y, b>0$, then

(a) $x / b<y / b$

(b) $x / b \leq y / b$

(c) $x / b>y / b$

(d) $x / b \geq y / b$

Solution:

Given that $x, y$ and $b$ are real numbers and $x<y, b>0$.

Both sides of an inequality can be multiplied or divided by the same positive number.

$\therefore \frac{x}{b}<\frac{y}{b}$

Hence, the correct option is (a).