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For each of the following sets, decide whether it is finite, countable, or uncountable. Explain your answer briefly. (a) P(Q) (b) {1,[0.03, 1] (c) (0, ∞) (d) (2, 3) (e) Nx [0, 2] (f) Nn (-∞, 1000) (g) [1, ∞) \ Q (h) P({1,2, ..., n}) × Z (i) Rn P(R)

For each of the following sets, decide whether it is finite, countable, or uncountable. Explain your answer briefly. (a) P(Q) (b) {1,[0.03, 1] (c) (0, ∞) (d) (2, 3) (e) Nx [0, 2] (f) Nn (-∞, 1000) (g) [1, ∞) \ Q (h) P({1,2, ..., n}) × Z (i) Rn P(R)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 4E
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Use rules of cardinality

For each of the following sets, decide whether it is finite, countable, or uncountable. Explain your answer briefly. (a) P(Q) 1 1 1 (b) { 1, , , , }n [0.03, 1] 4 (c) (0, ∞) (d) (2,3) (e) Nx [0, 2] (f) Nn (-∞, 1000) (g) [1, ∞) \ Q (h) P({1, 2,...,n}) x Z (i) Rn P(R)
Transcribed Image Text:For each of the following sets, decide whether it is finite, countable, or uncountable. Explain your answer briefly. (a) P(Q) 1 1 1 (b) { 1, , , , }n [0.03, 1] 4 (c) (0, ∞) (d) (2,3) (e) Nx [0, 2] (f) Nn (-∞, 1000) (g) [1, ∞) \ Q (h) P({1, 2,...,n}) x Z (i) Rn P(R)
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