Let f(x)=x+1 and (x)=x-2. Then the values of x satisfying |f(x)+ (x)|=|f(x)|+| (x)| are

JEE Main Mathematics question

Let and . Then the values of satisfying are

Answer: (A)

The identity holds exactly when and have the same sign (or one is 0), i.e. . Here and , so we need

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Question ID VK-007635