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On real numbers, define (aRb) if (a<b). Why is this relation transitive?

Answer and explanation

Correct answer: Because (a<b) and (b<c) give (a<c)

Step 1: Observe the order of smaller and larger numbers. Step 2: If (a) is less than (b), and (b) is less than (c), then (a) is less than (c). Step 3: Read inequality relations as a chain.

Related tags

Transitive RelationLess ThanOrder RelationRelations And FunctionsMathematicsClass 12 Mcq

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