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If (A={2,3,5,7}) and (R={(a,b):a\text{ divides }b}), how many minimum pairs must be added to make (R) reflexive?

Answer and explanation

Correct answer: 0

Step 1: Reflexivity needs ((2,2),(3,3),(5,5),(7,7)). Step 2: Every number divides itself, so all these diagonal pairs already belong to the relation. Step 3: When minimum additions are asked, first check the existing diagonal pairs.

Related tags

RelationsFunctionsReflexive RelationDivisibilityRelations And FunctionsMathematicsClass 12 Mcq

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