Question

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

Answer 1

For commutative property,

`x-y\\e 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\\e y-x \\ x-y=4-3=1 \\ x-y=1 \\ y-x=3-4=-1 \\ y-x=-1 \\ 4-3\\e3-4 \end{gathered}`

Hence,

`\begin{gathered} x-y\\e y\\e x \\ 4-3\\e3-4 \end{gathered}`

The answer is the second option.