Question

if a rational number x/y < 1 , where xa and y are both positive integers , then which of the following is greater than 1
1. x/2y
2. x/y^2
3. y/x
4. x-y

Answer 1

$\textbf{Given:}$

$\bf\frac{x}{y}<1$ .....(1)

1.

$\text{From (1), we have}$

$\frac{x}{2y}<\frac{1}{2}$

2.

$\text{From (1), we have}$

$\frac{x}{y^2}<\frac{1}{y}\leq1$

3.

$\text{From (1), taking reciprocals we have}$

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

4.

$\text{From (1), we have}$

$x<y$

$\implies,x-y<0$

$\textbf{Option 3 is correct}$

Answer 2

Answer:

c is correct y/x(x-y<0)