Question

Determine whether the inequality is TRUE or FALSE:
${\left(\frac{x+1}{x}\right)}^{-2}>\frac{x+1}{x}$

• A. True
• B. False

Answer 1

The correct option is B False

$(\frac{x+1}{x}{)}^{-2}$ = $(\frac{x}{x+1}{)}^2$

And $\left(\frac{x}{x+1}\right)$ is always between 0 and 1.

While $\frac{x+1}{x}$ is always greater than 1

So, the given statement is False.