-x2-x-12-x- - x- where - - denotes the greatest integer function-

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[x2]+[x+12]=[...

Question

$[\frac{x}{2}] + [\frac{x + 1}{2}] = [x] \forall x \in R,$ where $[.]$ denotes the greatest integer function.

True

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False

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Solution

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[[x]] = [x] \forall x \in R,

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