e-to-one correspondence between the set of positive integers and that set. The odd negative integers. [Check all that applies] [] The set is countably infinite. [] The set is finite. [] The set is countably infinite with one-to-one correspondence 1 ↔ –1, 2 ↔ –3, 3 ↔ –5, 4 ↔ –7, and so on. [] The set is countably infinite with one-to-one correspondence 1 ↔ –1, 2 ↔ –2, 3 ↔ –3, 4 ↔ –4, and so on. [] The one-to-one correspondence is given by n ↔ –(2n – 1). [] The one-to-one correspondence is given by n ↔ –(n – 1).

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Determine whether each of these sets is finite, countably infinite, or uncountable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set.

The odd negative integers. [Check all that applies]

[] The set is countably infinite.

[] The set is finite.

[] The set is countably infinite with one-to-one correspondence 1 ↔ –1, 2 ↔ –3, 3 ↔ –5, 4 ↔ –7, and so on.
[] The set is countably infinite with one-to-one correspondence 1 ↔ –1, 2 ↔ –2, 3 ↔ –3, 4 ↔ –4, and so on.

[] The one-to-one correspondence is given by n ↔ –(2n – 1).

[] The one-to-one correspondence is given by n ↔ –(n – 1).

 

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