Sorry Forget 5.5 and 2 as mod only deals with whole numbers.
This then means it may be false.
factors of 11: 0,11,22,33,44,55,66,77,88,99
any two numbers that multiply to get any of these that one of them is not a multiple of 11?
Thanks for your replies guys.
In this case:
True or False:
If ab Ξ 0 (mod 11) then a Ξ 0 (mod 11) or b Ξ 0 (mod 11). Explain your answer.
You would agree that the example:
If a=5.5 and b=2. Clearly ab is congruent to 0 modulo 11, but neither a or b is congruent to 0 modulo 11. Hence this is False.
This would indicate that it is also false.
I am not missing anything here am I???