3202f11-mid2

# 3202f11-mid2 - Sign the ERPA release on the next page only...

This preview shows pages 1–7. Sign up to view the full content.

1. (10) Determine whether the following expressions are sets or families of sets. In these expressions, A and B are sets, F and B are families of sets, and { A i : i I } and { B i : i I } are indexed families of sets. You do not need to show your work. a. A ( i F ). set family b. { A p : p I is prime } . set family c. ( u F ) ( i G ). set family d. P ( A ) ∩ { B i : i I } . set family e. P ( u ( F ∪ G )). set family 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2. (30) Prove that for all integers n , n 2 + n is even. 2
3. (30) Prove that for all sets A and B , if A Δ B A then B A . 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
4. (30) Let F and G be families of sets. Prove that if u F n⊆ u G then there is some A ∈ F such that for all B ∈ G , A n⊆ B . 4
5

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
NAME : MHF 3202 — Sets and Logic — Fall 2011 October 14, 2011 Midterm 2 Instructions: This is a closed book exam and no notes are allowed. You are not to provide or receive help from any outside source during the exam except that you may ask the instructor for clariFcation of a problem. You have 50 minutes and you should attempt all problems. Print your name in the space provided.
This is the end of the preview. Sign up to access the rest of the document.