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On (A={-2,-1,0,1,2}), under the relation (|a|=|b|), what is the equivalence class of (2)?

Answer and explanation

Correct answer: ({-2,2})

Step 1: Elements related to (2) must have absolute value (2). Step 2: Both (-2) and (2) have absolute value (2). Step 3: To find an equivalence class, apply the relation condition to the chosen element.

Related tags

Absolute ValueEquivalence ClassFinite SetEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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