Show That the Set Is Infinite by Placing It in a One-To-One

question 121

Multiple Choice

Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show
the pairing of the general terms in the sets.
- $\left\{ \frac { 4 } { 9 } , \frac { 5 } { 9 } , \frac { 6 } { 9 } , \frac { 7 } { 9 } , \ldots \right\}$

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Definitions:

Emerging Companies

are businesses in the early stages of development, usually characterized by innovative products or services and high growth potential.

Equity Capital

The funds raised by a company in exchange for shares of ownership, providing investors with a stake in the company.

Institutional Sources

Organizations or establishments that provide substantial information, data, or funding, often in a formalized or official capacity.

Run Out Of Money

A situation where a business or individual exhausts their financial resources and cannot meet financial obligations.