For each of the statements below, give a domain of discourse for which the statement is true, and a domain for which the statement is false. ∀x∃y(y^2=x). ∀x∀y(x
For each of the statements below, give a domain of discourse for which the statement is true, and a domain for which the statement is false. ∀x∃y(y^2=x). ∀x∀y(x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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For each of the statements below, give a domain of discourse for which the statement is true, and a domain for which the statement is false.
- ∀x∃y(y^2=x).
- ∀x∀y(x<y→∃z(x<z<y)).
- ∃x∀y∀z(y<z→y≤x≤z).
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