hw7a - Math 300A&B Introduction to Mathematical...

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Math 300A&B Introduction to Mathematical Reasoning Assignment #7: Due Wednesday, 11/25/09 Fall 2009 Part I: 1. For each of the following sets, write a precise membership criterion in the following form: x ∈ name of set ⇔ . . . . m and n are arbitrary integers. Example: Z≥ : Membership criterion: x ∈ Z≥ ⇔ x ∈ Z and x ≥ 0. (a) R+ . (b) R − Z+ . (c) R+ − Z. (d) R+ × Z+ . (e) R+ ∩ Z. (f) R+ ∪ Z. (g) Z+ ∩ [−400, 400). (h) S = {y ∈ R : y 3 − 3y 2 ∈ Z}. (i) T = {y 3 − 3y 2 : y ∈ Z}. (j) P (Z). 2. Eccles, pages 87–88, Exercises 7.7 and 7.8. 3. Eccles, pages 99–100, Exercises 8.1, 8.5. 4. Eccles, page 117, Problem 13. ...
View Full Document

Ask a homework question - tutors are online