Question

Use a counterexample to disprove the following statement: "If x is greater than y, then x divided by y is greater than 1 where y ≠ 0.

Answer 1

Let $x=2$, $y=-0.5$. Obviously, $x>y$, $y\ne0$

Consider $\frac{x}{y}=\frac{2}{-0.5}=-4<1$.

The statement is false.