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On (A={1,2,3,4}), the relation (R={(a,b):a+b\leq 5}) is given. Is (R) reflexive?

Answer and explanation

Correct answer: No because ((3,3)) and ((4,4)) are missing

Step 1: Check the condition on all diagonal pairs. Step 2: For ((3,3)), (6\leq 5) is false, and for ((4,4)), (8\leq 5) is false. Step 3: Some diagonal pairs are not enough; all must be present.

Related tags

RelationsFunctionsReflexive RelationInequality ConditionRelations And FunctionsMathematicsClass 12 Mcq

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