Suppose That the Only Paper Money Consists of 3-Dollar Bills

question 25

Essay

Suppose that the only paper money consists of 3-dollar bills and 10-dollar bills. Show that any dollar amount greater than 17 dollars could be made from a combination of these bills.

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Definitions:

Biconditional

A logical statement of the form "if and only if", showing that both conditions must be true or both false.

Biconditionals

Statements that are true only if both components are either true or false together, often expressed as "if and only if."

Conjunction

In logic, an operator that connects two statements or propositions so that the resulting statement is true only if both components are true.

Disjunction

A logical operation yielding a true value if at least one of its operands is true.