(a) By contradiction, prove that V r, y € Z, if ry is even and y is odd then x is even. (b) Show that the set « · is countable. (c) Find the values of x and y for which (x + y,0) = (3, x – y)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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2.
(a) By contradiction, prove that V z, y € Z, if zy is even and y is odd then x
is even.
(b) Show that the set 4 6 }
countable.
(c) Find the values of x and y for which (x + y,0) = (3, x – y)
Transcribed Image Text:2. (a) By contradiction, prove that V z, y € Z, if zy is even and y is odd then x is even. (b) Show that the set 4 6 } countable. (c) Find the values of x and y for which (x + y,0) = (3, x – y)
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