Fibrahim2410 Fibrahim2410
  • 17-07-2019
  • Mathematics
contestada


Provide a counterexample:

If a and b are integers where a is divisible by b and b is divisible by a, then a = b.

Respuesta :

presipao
presipao presipao
  • 29-07-2019

Answer:

[tex]a=2 \quad \text{and} \quad b=-2[/tex]

Step-by-step explanation:

Take [tex]a=2 \quad \text{and} \quad b=-2[/tex], note that

[tex]2=(-1)\cdot(-2)[/tex]

hence b divides a. On the other hand, we have that

[tex]-2=(-1)\cdot2[/tex]

which tells us that a divides b. Moreover, [tex]a=2 \neq -2=b[/tex].

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