Mathematics
Given, universal set = {x : x ∈ N, 10 ≤ x ≤ 35}, A = {x ∈ N : x ≤ 16} and B = {x : x > 29}. Find:
(i) A'
(ii) B'
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Answer
Universal set = {x : x ∈ N, 10 ≤ x ≤ 35}
Universal set = {10, 11, 12, 13, 14, 15, 16, …………………, 34, 35}
A = {x ∈ N : x ≤ 16}
B = {x : x > 29}
(i) A = {10, 11, 12, 13, 14, 15, 16}
A' - contains all elements in universal set which are not in set A.
A' = {17, 18, 19, 20, 21,…………………, 34, 35}
A' = {x : x ∈ N, 17 ≤ x ≤ 35}
(ii) B = {30, 31, 32, 33, 34, 35}
B' - contains all elements in universal set which are not in set B.
B' = {10, 11, 12, 13, 14, 15, 16,…………………, 28, 29}
B' = {x : x ∈ N, 10 ≤ x ≤ 29}
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