Question

Define p to be the set of all pairs (l,m) in N×N such that l≤m. Which of the conditions (a), (c), (r), (s), (t) does p satisfy?

(a) For any two elements y and z in X with (y,z)∈r and (z,y)∈r, we have y=z

.(c) For any two elements y and z in X, we have (y,z)∈r or (z,y)∈r.

(r) For each element x in X, we have (x,x)∈r.

(s) For any two elements y and z in X with (y,z)∈r, we have (z,y)∈r.

(t) For any three elements x,y, and z in X with (x,y)∈rand (y,z)∈r, we have(x,z)∈r

Answer 1