Prove or Disprove: for All Real Numbers X And $$y , \lfloor x - y \rfloor = \lfloor x \rfloor - \lfloor y \rfloor \text {. }$$

question 72

True/False

Prove or disprove: For all real numbers x and $$y , \lfloor x - y \rfloor = \lfloor x \rfloor - \lfloor y \rfloor \text {. }$$

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Definitions:

Dominant Strategy

A strategy that is best for a player in a game regardless of the strategies chosen by the other players.

Contribute

To give or supply something (such as money, resources, or ideas) towards a common purpose or fund.

Benefit

The advantage or profit gained from something, often evaluated in economic, social, or personal contexts.

Payoff

The outcome or reward from a particular action or investment, often used in the context of games, economics, and decision-making scenarios.