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The negation of the statement (VE> 0)(x E R)(3Y€EN: |x-y< e) is O A. (3ES 0)(3xE R)(Vy€N:|x-y >E) O B. (VE> 0)(3x € R)(Vy€N: |x-y|> ) OC (3E > 0)(3x€ R)(Vy€N: |x-y| > E) O D:(3E > 0)(3x€ N)(VyER : |x-y|> E)

The negation of the statement (VE> 0)(x E R)(3Y€EN: |x-y< e) is O A. (3ES 0)(3xE R)(Vy€N:|x-y >E) O B. (VE> 0)(3x € R)(Vy€N: |x-y|> ) OC (3E > 0)(3x€ R)(Vy€N: |x-y| > E) O D:(3E > 0)(3x€ N)(VyER : |x-y|> E)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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The negation of the statement (VE> 0)(x € R)(3Y€EN: |x-y < e) is O A. (3ES 0)(3xE R)(Vy€N:|x-y >E) O B. (VE> 0)(3x € R)(Vy€N: |x-y|> ) OC (3E > 0)(3x€ R)(Vy€N: |x-y| > E) O D:(3E > 0)(3x€ N)(VyER : |x-y|> E)
Transcribed Image Text:The negation of the statement (VE> 0)(x € R)(3Y€EN: |x-y < e) is O A. (3ES 0)(3xE R)(Vy€N:|x-y >E) O B. (VE> 0)(3x € R)(Vy€N: |x-y|> ) OC (3E > 0)(3x€ R)(Vy€N: |x-y| > E) O D:(3E > 0)(3x€ N)(VyER : |x-y|> E)
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