Equivilence Relations And Classes Problems

[PeteSteve]

Hi guys

I am having trouble with this question (i have attached). Any help with it would be very much appreciated.

Many thanks in advance

Pete

 

[dalle]

dear PeteSteve
you are expected to prove that the relation ~ is reflexiv,symmetric and transitive.
To show that ~ in 1a is reflexiv you must show that x ~ x for all x in Z . You can prove this by observing that 0 = x- x is divisible by m. The symmetric and transifive case can be proven in a similar way.

 

[PeteSteve]

Hi dalle

I understand what I need to do now, thanks a lot for your help with the problem

Pete