Question

If $x$ and $y$ are any two positive real numbers and $x>y,$ which one of the following is true?

• A. $-x>-y$
• B. $-x>y$
• C. $\frac{1}{x}>\frac{1}{y}$
• D. $\frac{1}{x}<\frac{1}{y}$

Answer 1

Answer: (D)

$\frac{1}{x}<\frac{1}{y}$

Given, $x>y$ and $x>0,y>0$

$x>y⟹\frac{x}{y}>1$

$⟹\frac{1}{y}>\frac{1}{x}$

$⟹\frac{1}{x}<\frac{1}{y}$