Use the functions I and J defined in the paragraph following Example 7.4.1 to show that
Chapter 7, Problem 6(choose chapter or problem)
Use the functions I and J defined in the paragraph following Example 7.4.1 to show that even though there is a one-to-one correspondence, H, from 2Z to Z, there is also a function from 2Z to Z that is one-to-one but not onto and a function from Z to 2Z that is onto but not one-to-one. In other words, show that I is one-to-one but not onto, and show that J is onto but not one-to-one
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