Hi, i'm having a bit of a problem thinking of what this question means:
"For each of the following two relations, E and O, on Z (set of all integers) determine whether it is an equivalence relation. Justify your answer."
e - (is part of the set)
i) (x,y) e E if and only if x + y is an even number
ii) (x,y) e O if and only if x + y is an odd number
.........can anyone help?
"For each of the following two relations, E and O, on Z (set of all integers) determine whether it is an equivalence relation. Justify your answer."
e - (is part of the set)
i) (x,y) e E if and only if x + y is an even number
ii) (x,y) e O if and only if x + y is an odd number
.........can anyone help?