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

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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. ...
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## This note was uploaded on 12/08/2009 for the course MATH 300 taught by Professor Staff during the Spring '08 term at University of Washington.

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