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

Question

asked Apr 11, 2020 222k views

1 Answer

Fjurt · Answer 1 · 2020-04-16T01:18:04+0000

Answer:

$a=2 \quad \text{and} \quad b=-2$

Explanation:

Take
$a=2 \quad \text{and} \quad b=-2$ , note that

$2=(-1)\cdot(-2)$

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

$-2=(-1)\cdot2$

which tells us that a divides b. Moreover,
$a=2 \\eq -2=b$ .