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Prove that each of the following sets is equinumerous with N by defining ( 1 ) either an injection from the given set to N

Prove that each of the following sets is equinumerous with N by defining

(1)

either an injection

from the given set to N or a surjection from N to the given set, and

(2)

either injection from N to

the given set, or a surjection from the given set to N

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