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

question 45

True/False

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:

Framing Effect

The influence on decision making caused by the way information is presented, rather than the actual information itself.

Base-Rate Error

A cognitive bias where people misjudge the likelihood of an event by ignoring general prevalence.

Availability Heuristic

An intuitive thinking process that leverages readily available examples to evaluate a specific topic, concept, approach, or decision.

Functional Fixedness

A cognitive bias that limits a person to using an object only in the way it is traditionally used, hindering problem-solving.