1. The problem statement, all variables and given/known data xRy iff (x+y)2=1 determine if reflexive, irreflexive or neither 2. Relevant equations 3. The attempt at a solution I'm having trouble understanding the definitions. I know that reflexive means that ever element is related to itself and that irreflexive means that no element is related to itself but I don't really understand what that means. For this problem it is only true y=-x-1 or y=1-x. But I don't understand what to do from here. Does this mean that since x and y are dependent on one another then they are reflexive? But how would I know if it an element in 'x' (say 10) is dependent onitself?