Question

give a counterexample to show that division is not associative for integers.​

Answer 1

Answer:

• Refer the attachment;)

Answer 2

To give a counterexample, I have to find an integer n such n2 is divisible by 4, but n is not divisible by 4 — the “if” part must be true, but the “then” part must be false.

Consider n = 6.

Then n2 = 36 is divisible by 4, but n = 6 is not divisible by 4.

Thus, n = 6 is a counterexample to the statement.