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Question

Given, universal set = {xϵZ:6<×6} N={n:n is a non-negative number} and
P={x:x is a non-positive number}. Find
(i)N' ,
(ii)P.

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Solution

Consider the given function,

U={xZ:6<x6}

N={n:nisanonnegativenumber}

P={x:xisanonpositivenumber}

Then,

U={5,4,3,2,1,0,1,2,3,4,5}

N={0,1,2,3,4,5}

P={5,4,3,2,1,0}

(i).N=UN

=N={1,2,3,4,5}

(ii).P={5,4,3,2,1,0}

Hence, this is the answer.

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