Show that the relation Q in R defined as Q = {(a, b) : b  a}, is reflexive and transitive but not symmetric.

Asked by Topperlearning User | 25th Oct, 2016, 07:54: AM

Expert Answer:

(i) If a = b, then a  a, so, relation Q is reflexive.
(ii) We know that 2  1, but 1  2 is not possible. So, Q is not symmetric.
(iii) If a  b and b  c, then a  c, so relation Q is transitive.

Answered by  | 25th Oct, 2016, 09:54: AM