Given- universal set - x- Z-6- -6 N-n-n is a non-negative number andP-x-x is a non-positive number- Find iN- -iiP-

Consider the given function, #10; #10; U={ x∈ Z: 6 lt;x≤ 6 } #10; #10; N={ #10;n:n is a non negative number} #10; #10; P={ #10;x ...

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Standard XII

Mathematics

Definition of Sets

Given, univer...

Question

Given, universal set = ${x ϵ Z : - 6 < \times \leq 6}$ 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,

$U = {x \in Z : - 6 < x \leq 6}$

$N = {n : n is a non negative number}$

$P = {x : x is a non positive number}$

Then,

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

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

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

$(i) . N^{'} = U - N$

$= N^{'} = {1, 2, 3, 4, 5}$

$(i i) . P = {- 5, - 4, - 3, - 2, - 1, 0}$
Hence, this is the answer.

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

Consider the given function, U={x∈Z:−6<x≤6} 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′=U−N =N′={1,2,3,4,5} (ii).P={−5,−4,−3,−2,−1,0} Hence, this is the answer.

Given, universal set = ${x ϵ Z : - 6 < \times \leq 6}$ N={n:n is a non-negative number} and
P={x:x is a non-positive number}. Find
(i)N' ,
(ii)P.