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(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}

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(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}
Transcribed Image Text:(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}
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