(a) By contradiction, prove that Vr, y € Z, if ry is even and y is odd then x is even. (b) Show that the set is countable. 3 3' 91 (c) Find the values of x and y for which (r + y,0) = (3, I – y) 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 26E
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(a) By contradiction, prove that Vr, y € Z, if ry is even and y is odd then x
is even.
(b) Show that the set
is countable.
3 3' 91
(c) Find the values of x and y for which (r + y,0) = (3, I – y)
2.
Transcribed Image Text:(a) By contradiction, prove that Vr, y € Z, if ry is even and y is odd then x is even. (b) Show that the set is countable. 3 3' 91 (c) Find the values of x and y for which (r + y,0) = (3, I – y) 2.
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