Homework Assignment 1 Solution

$30.00

Description

  • Read sections 0.1 through 0.4 of the book.

  • Exercises from pages 25, 26 and 27 of book: 0.1 through 0.9.

  • Problems page 27 in 2nd ed 0.10 through 0.12 or in 3rd ed 0.10, 0.12 and 0.13.

  • Prove from the definitions of set union, intersection, complement and equality that (A∩B)=(AB)

  • Show the set of odd numbers is countable.

  • Prove by induction on N.

N

N

For all N N ,

AI = AI.

I=1

I=1

  • Prove by induction on N that every non-empty finite set of positive integers contains a least element.

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