The number of solutions of the equation | x|=2[x], where [ ] is the greatest integer function, is

JEE Main Mathematics question

Not in JEE Main syllabus

The number of solutions of the equation , where is the greatest integer function, is

Answer: (D)

The left side satisfies , and the right side is an even integer. So must be 0 or 2; needs

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Question ID VK-008143