Prove the Following Statement: for All Real Numbers X $\lfloor x - 2 \rfloor = \lfloor x \rfloor - 2$

question 28

Essay

Prove the following statement: For all real numbers x, $\lfloor x - 2 \rfloor = \lfloor x \rfloor - 2$

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Definitions:

Sacred and Profane

Refer to categories within sociology that distinguish between the holy, spiritual, or religious (sacred) and the secular, everyday, or non-religious (profane).

Émile Durkheim

A French sociologist, one of the founding figures of sociology, known for his studies on social solidarity, religion, and the division of labor in society.

Stanley Cup

The championship trophy awarded annually to the National Hockey League (NHL) playoff winner.

Collective Effervescence

A concept in sociology describing the sense of energy and harmony people feel when they come together in a group for a shared purpose.