Consider the Following Statement: for All Real Numbers R, If

question 22

Essay

Consider the following statement: For all real numbers r, if r3 is irrational then r is irrational.
(a) Prove the statement either by contradiction or by contraposition. Clearly indicate which method you are using.
(b) If you used proof by contradiction in part (a), write what you would "suppose" and what you would "show" to prove the statement by contraposition. If you used proof by contraposition in part (a), write what you would "suppose" and what you would "show" to prove the statement by contradiction.

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Definitions:

Par Value

A nominal or face value given to a share of stock or a bond, often used in accounting to determine legal capital or in the issuance of shares.

Common Stock

Type of equity security that represents ownership in a corporation, with rights to vote on corporate matters and receive dividends.

Par Value

A nominal value assigned to shares of stock in a company's charter, not necessarily reflecting market value.

Common Stock

A type of equity security that represents ownership in a corporation, giving holders voting rights and a share in the company's profits through dividends.