26. Let E be the set of all even integers, and let O be the set of all odd integers. Let X = {n €Z|n = x +y for some a, y E O}. %3D (a) Prove that XCE. (b) Prove that EC X.

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Essentials of DISCRETE MATHEMATICS

Section 2.2 - SETS

26. Let E be the set of all even integers, and let O be the set of all odd
integers. Let X = {n EZ|n= x+y for some x, y E O}.
%3D
(a) Prove that X CE.
(b) Prove that ECX.
Transcribed Image Text:26. Let E be the set of all even integers, and let O be the set of all odd integers. Let X = {n EZ|n= x+y for some x, y E O}. %3D (a) Prove that X CE. (b) Prove that ECX.
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If y is an even integer then it will be of type 2n for some n in integer

If y is an odd integer then it will be of type 2n+1 for some n in integer 

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