Answer:
I provided two counterexamples in the explanation.
Here is another:
[tex]9 \div 3 \neq 3 \div 9[/tex]
Step-by-step explanation:
We just need to give an example of being false. You are in luck; there is a lot of examples:
Let # be a new operation; you know like addition, multiplication, subtraction, division is...
If you have x#y=y#x for all complex numbers x and y, then the set of complex numbers is commutative over that operation, #.
Here are some operations you know that have this property: addition and multiplication.
Examples: x+y=y+x or yx=xy for all numbers x and y.
Example of division not being commutative:
[tex]6 \div 3 \neq 3 \div 6[/tex]
These aren't equal because 6 divided by 3=2 while 3 divided by 6 is .5.
2 and .5 are definitely not the same number.
Another counterexample:
[tex]5 \div 2 \neq 2 \div 5[/tex]
5/2=2.5
2/5=.4
.4 and 2.5 are not of equal value.