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

question 121

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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.
- {49,59,69,79,}\left\{ \frac { 4 } { 9 } , \frac { 5 } { 9 } , \frac { 6 } { 9 } , \frac { 7 } { 9 } , \ldots \right\}


Definitions:

Production Possibilities Curve

A graph that shows the different quantities of two goods that an economy can produce using all of its resources efficiently.

Scarcity

Fundamental concept of economics that indicates that there is less of a good freely available than people would like.

Production Possibilities Curve

A graphical representation that shows the maximum combination of goods or services that can be produced with a fixed amount of resources.

Efficiently

Pertains to achieving maximum productivity with minimal wasted effort or expense.

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