# Homework Assignment 1 Solution

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## 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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