Give a Proof by Cases That $x \leq |x|$ For All Real Numbers

question 187

Essay

Give a proof by cases that $x \leq |x|$ for all real numbers $x .$

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Definitions:

Shares

Units of ownership interest in a corporation or financial asset, providing a proportionate claim on its assets and profits.

Stock Split

An action by a corporation where it splits its current shares into numerous shares, aiming to increase the shares' liquidity.

Stock Splits

A corporate action to increase the number of shares, thereby reducing the price per share without altering the company's market capitalization.

Stock Dividends

Dividends paid to shareholders in the form of additional shares of the company's stock, rather than cash.