E(x): x is even      P(x): x is positive S(x): x + 1 = 4      M(x): 2x = 2   6.) ∀xE(x)   =    7.) ∃xS(x)   =    8.) ∃xM(x)

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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Introduction:

Determine if each proposition is true or false. Kindly explain and support your answer

Let U = {1,2,4,6,8}

 

E(x): x is even      P(x): x is positive

S(x): x + 1 = 4      M(x): 2x = 2

 

6.) ∀xE(x)

 

 

7.) ∃xS(x)

 

 

8.) ∃xM(x)

 

 

9.) ∃x¬E(x)

 

 

10.) ¬∃xE(x)

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