Prove or Disprove: for All Positive Real Numbers X and Y

question 71

True/False

Prove or disprove: For all positive real numbers x and y, $\lfloor x · y\rfloor ≤ \lfloor x \rfloor · \lfloor y \rfloor$ .

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Definitions:

Identification

The process of associating oneself with specific groups, roles, or causes, or recognizing something as being certain or belonging to a particular category.

Socialization

The process by which individuals learn and adopt the norms, values, behaviors, and social skills appropriate to their society or culture.

Personality Formation

The process by which an individual's distinctive patterns of thought, feeling, and behavior, constituting their personality, are developed and solidified over time.

Gender Segregation

The separation of individuals based on their gender, often seen in social, educational, or professional contexts.