ZuryI730082 ZuryI730082
  • 30-10-2022
  • Mathematics
contestada

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

Respuesta :

TahliaT72410 TahliaT72410
  • 30-10-2022

For commutative property,

[tex]x-y\ne y-x[/tex]

Where

[tex]x,y\in R[/tex]

Where x and y are real numbers

[tex]\begin{gathered} \text{Where } \\ x=4,y=3 \end{gathered}[/tex]

For the commutative property of whole numbers,

[tex]\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}[/tex]

Hence,

[tex]\begin{gathered} x-y\ne y\ne x \\ 4-3\ne3-4 \end{gathered}[/tex]

The answer is the second option.

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