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

Universal set = { x ∈ Z : 6 lt; x ≤ 6 } ={ 5, 4, 3, 2, 1,0,1,2,3,4,5,6 } N = { n : n is a non negative number } { 0,1,2,3,4,5,6 } P = { x :x is a n ...

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Standard VIII

Mathematics

Universal Set

Given univers...

Question

Given universal set = ${x \in Z : - 6 < x \leq 6}, N = {n : n i s a n o n - n e g a t i v e n u m b e r} a n d P = {x : x i s a n o n - p o s i t i v e n u m b e r} F i n d : (i) N^{‘} (i i) P^{‘}$

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Solution

Universal set = ${x \in Z : - 6 < x \leq 6} = {- 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6} N = {n : n i s a n o n - n e g a t i v e n u m b e r} {0, 1, 2, 3, 4, 5, 6} P = {x : x i s a n o n - p o s i t i v e n u m b e r} = {- 5, - 4, - 3, - 2, - 1, 0} (i) N^{‘} = {- 5, - 4, - 3, - 2, - 1, 0} A n s . (i i) P^{‘} = {1, 2, 3, 4, 5, 6}$ Ans.

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Given universal set = {x∈Z:−6<x≤6},N={n:n is a non−negative number } and P = {x:x is a non−positive number}Find:(i)N‘(ii)P‘

Universal set = {x∈Z:−6<x≤6}={−5,−4,−3,−2,−1,0,1,2,3,4,5,6}N={n:n is a non−negative number }{0,1,2,3,4,5,6}P = {x:x is a non−positive number}={−5,−4,−3,−2,−1,0}(i)N‘={−5,−4,−3,−2,−1,0}Ans.(ii)P‘={1,2,3,4,5,6}Ans.

Given universal set = ${x \in Z : - 6 < x \leq 6}, N = {n : n i s a n o n - n e g a t i v e n u m b e r} a n d P = {x : x i s a n o n - p o s i t i v e n u m b e r} F i n d : (i) N^{‘} (i i) P^{‘}$