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:

Cost of Goods Sold

The total cost directly attributed to the production of goods sold by a company, including materials and labor costs but excluding indirect expenses.

Operating Expenses

Costs associated with a company's main operational activities, excluding the cost of goods sold.

Merchandising Companies

Companies that buy and sell goods without fundamentally changing their condition; they are involved in retail or wholesale.

Merchandising Company

A business that purchases finished goods for resale, earning revenue from the difference between the retail and wholesale prices.