Question

which of the following is a counterexample to the following statements?

Answer 1

For commutative property,

$x-y\ne y-x$

Where

$x,y\in R$

Where x and y are real numbers

$\begin{gathered} \text{Where } \\ x=4,y=3 \end{gathered}$

For the commutative property of whole numbers,

$\begin{gathered} x-y\ne y-x \\ x-y=4-3=1 \\ x-y=1 \\ y-x=3-4=-1 \\ y-x=-1 \\ 4-3\ne3-4 \end{gathered}$

Hence,

$\begin{gathered} x-y\ne y\ne x \\ 4-3\ne3-4 \end{gathered}$

The answer is the second option.