Question:
Mark the correct alternative in each of the following:
Given that $x, y$ and $b$ are real numbers and $x
(a) $x / 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
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).