Question

given universal set ={ x:xEN, 10<x<35}A={x:xE N, x<16}, B={x:x>29}
Find (1) A (2) B'
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Answer 1

Answer:

Universal set = {x : x ∈  N, 10 ≤ X ≤ 35}

= {10, 11, 12, 13, 14, 15,….,34, 35}

A = {x ∈ N, x  ≤ 16}

= {10, 11, 12, 13, 14, 15, 16}

B = {x : x > 29}

= {30, 31, 32, 33, 34, 35}

(i) A’ = {17, 18, 19, 20, 21, 22,…,33, 34,35}

= {x : x ∈  N ; 17 ≤ x ≤ 35}

(ii) B’ = {10, 11, 12, 13, 14, 15,…..,29}

= {x : x ≤ 29}