(1) For each of the following sets, state whether the set is finite, countably infinite, or uncountable. You do not need to show any work. (i) {x E Z+ : 2x – 1 = 3p for some integer p} (ii) {p € Z : 2p² + 14 < 0} (iii) {(a,b) E Z+ :1< a+ 3b < 5} ENTIAL IDENT (iv) {Z} (v) {(a, b) e R² : 2a + 1 = b} (vi) {x E R+ : 5x +3 = 3q for some q E Z}

(1) For each of the following sets, state whether the set is finite, countably infinite, or uncountable. You do not need to show any work. (i) {x E Z+ : 2x – 1 = 3p for some integer p} (ii) {p € Z : 2p² + 14 < 0} (iii) {(a,b) E Z+ :1< a+ 3b < 5} ENTIAL IDENT (iv) {Z} (v) {(a, b) e R² : 2a + 1 = b} (vi) {x E R+ : 5x +3 = 3q for some q E Z}

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 2E: 2. In each of the following parts, a relation is defined on the set of all integers. Determine in...

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