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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
Options
\[\frac{x}{b < \frac{y}{b}}\]
\[\frac{x}{b \leq \frac{y}{b}}\]
\[\frac{x}{b > \frac{y}{b}}\]
\[\frac{x}{b \geq \frac{y}{b}}\]
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).
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