{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Midterm II

# Midterm II - MATH 74 MIDTERM 2 1 Short reponse 20 points...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MATH 74 MIDTERM 2 1. Short reponse: 20 points For any set S , let P ( S ) denote the set of all subsets of S . 1. [4 pts] Give an example of sets A and B such that P ( A ∪ B ) 6 = P ( A ) ∪ P ( B ) . You do not need to prove that your sets A and B have this property; you just need to specify what A and B are. 2. [4 pts] Let A = { 1 , 2 , 3 } . Give an example of an element Z of P ( A × A ) that is not of the form B × C , with B and C subsets of A . You do not need to prove that your Z has this property. You just need to specify what Z is. 3. [4 pts] Give an example of a function f : Z → Z that is injective but not surjective. You do not need to prove that f has these properties. You just need to specify the rule of f . 4. [4 pts] Give an example of a function g : R → R that is surjective but not injective. You do not need to prove that g has these properties. You just need to specify the rule of g ....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online