Mathematics
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'
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Answer
Universal set = {x ∈ Z : - 6 < x ≤ 6}
Universal set = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}
N = {n : n is a non-negative number}
P = {x : x is a non-positive number}
(i) N = {0, 1, 2, 3, 4, 5, 6}
N' - contains all elements in universal set which are not in set N.
N' = {-5, -4, -3, -2, -1}
(ii) P = {-5, -4, -3, -2, -1, 0}
P' - contains all elements in universal set which are not in set P.
P' = {1, 2, 3, 4, 5, 6}
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