Prove or Disprove: for All Real Numbers $x$ And $y , \lfloor x + \lfloor x \rfloor \rfloor = \lfloor 2 x\rfloor$

question 58

Short Answer

Prove or disprove: For all real numbers $x$ and $y , \lfloor x + \lfloor x \rfloor \rfloor = \lfloor 2 x\rfloor$

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Definitions:

Extraction Cost

The expenses associated with removing natural resources from the earth or sea, including labor, equipment, and regulatory compliance costs.

Property Rights

The legal rights to use, control, and benefit from resources, assets, or property.

Conservation

The sustainable management and use of natural resources to prevent depletion and harm to the environment.

Extraction Quantity

The volume or amount of natural resources, such as minerals, oil, or gas, that is removed from the earth or harvested.