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On real numbers, (aRb) if and only if (\lfloor a\rfloor=\lfloor b\rfloor). Which is the equivalence class of (-1.2)?

Answer and explanation

Correct answer: ([-2,-1))

Step 1: The greatest integer part of (-1.2) is (-2), not (-1). Step 2: Numbers whose greatest integer part is (-2) lie in ([-2,-1)). Step 3: For negative decimals, take the lower integer while using the floor function.

Related tags

Floor FunctionNegative NumbersEquivalence ClassReal NumbersEquivalence RelationRelations And FunctionsMathematicsClass 12 Mcq

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