CBSE Class 12-science Answered
Show that the relation Q in R defined as Q = {(a, b) : b 
a}, is reflexive and transitive but not symmetric.
a}, is reflexive and transitive but not symmetric.
Asked by Topperlearning User | 25 Oct, 2016, 07:54: AM
Expert Answer
(i) If a = b, then a 
a, so, relation Q is reflexive.
a, so, relation Q is reflexive.(ii) We know that 2 1, but 1 2 is not possible. So, Q is not symmetric.
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.
b and b c, then a c, so relation Q is transitive.
Answered by | 25 Oct, 2016, 09:54: AM
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