Rewrite the following statements in English without using the symbol ∀ or ∃ or variables and express your answer as simple as possible. Then, write the negation (in symbols). a. ∀ r ∈ Q, ∃ integers a and b such that r = a/b. b. ∃ x ∈ R^+ such that ∀ y ∈ R^+, x ≤ y.
Rewrite the following statements in English without using the symbol ∀ or ∃ or variables and express your answer as simple as possible. Then, write the negation (in symbols). a. ∀ r ∈ Q, ∃ integers a and b such that r = a/b. b. ∃ x ∈ R^+ such that ∀ y ∈ R^+, x ≤ y.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.1: Order Of Real Numbers
Problem 5WE
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Rewrite the following statements in English without using the symbol ∀ or ∃ or variables and express your answer as simple as possible. Then, write the negation (in symbols).
a. ∀ r ∈ Q, ∃ integers a and b such that r = a/b.
b. ∃ x ∈ R^+ such that ∀ y ∈ R^+, x ≤ y.
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