Question

show that the relation R in R defined as R ={(a, b) :a<b} is reflexive and transitive but not symmetric​

Answer 1

Answer:

Show that the relation R in R defined as R = {(a, b): a ≤ b}, is reflexive and transitive but not symmetric. Clearly (a, a) ∈ R as a = a. ∴R is reflexive. But, (4, 2) ∉ R as 4 is greater than 2.

Step-by-step explanation:

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