Taking the set of natural numbers as the universal set, write down the complements of the following sets:

U = N: Set of natural numbers 

(i) {x: x is an even natural number}´ = {x: x is an odd natural number} 

(ii) {x: x is an odd natural number}´ = {x: x is an even natural number} 

(iii) {x: x is a positive multiple of 3}´= {x: x N and x is not a multiple of 3} 

(iv) {x: x is a prime number}´ ={x: x is a positive composite number and x = 1} 

(v) {x: x is a natural number divisible by 3 and 5}´ = {x: x is a natural number that is not divisible by 3 or 5} 

(vi) {x: x is a perfect square}´ = {x: x N and x is not a perfect square} 

(vii) {x: x is a perfect cube}´ = {x: x N and x is not a perfect cube} 

(viii) {x: x + 5 = 8}´ = {x: x N and x ≠ 3} 

(ix) {x: 2x + 5 = 9}´ = {x: x N and x ≠ 2} 

(x) {x: x ≥ 7}´ = {x: x N and x < 7} (xi) {x: x N and 2x + 1 > 10}´ = {x: x N and x ≤ 9/2} 

U = N: Set of natural numbers
(i) {x: x is an even natural number}´ = {x: x is an odd natural number}
(ii) {x: x is an odd natural number}´ = {x: x is an even natural number}
(iii) {x: x is a positive multiple of 3}´= {x: x ∈ N and x is not a multiple of 3}
(iv) {x: x is a prime number}´ = {x: x is a positive composite number and x = 1}
(v) {x: x is a natural number divisible by 3 and 5}´ = {x: x is a natural number that is not divisible by 3 or 5}
(vi) {x: x is a perfect square}´ = {x: x ∈ N and x is not a perfect square}
(vii) {x: x is a perfect cube}´ = {x: x ∈ N and x is not a perfect cube}
(viii) {x: x + 5 = 8}´ = {x: x ∈ N and x ≠ 3}
(ix) {x: 2x + 5 = 9}´ = {x: x ∈ N and x ≠ 2}
(x) {x: x ≥ 7}´ = {x: x ∈ N and x < 7}
(xi) {x: x ∈ N and 2x + 1 > 10}´ = {x: x ∈ N and x ≤ 9/2}

U = N: Set of natural numbers

(i) {x: x is an even natural number}´ = {x: x is an odd natural number}

(ii) {x: x is an odd natural number}´ = {x: x is an even natural number}

(iii) {x: x is a positive multiple of 3}´= {x: x ∈ N and x is not a multiple of 3}

(iv) {x: x is a prime number}´ ={x: x is a positive composite number and x = 1}

(v) {x: x is a natural number divisible by 3 and 5}´ = {x: x is a natural number that is not divisible by 3 or 5}

(vi) {x: x is a perfect square}´ = {x: x ∈ N and x is not a perfect square}

(vii) {x: x is a perfect cube}´ = {x: x ∈N and x is not a perfect cube}

(viii) {x: x + 5 = 8}´ = {x: x∈ N and x ≠ 3}

(ix) {x: 2x + 5 = 9}´ = {x: x∈ N and x ≠ 2}

(x) {x: x ≥ 7}´ = {x: x∈ N and x < 7}

(xi) {x: x∈ N and 2x + 1 > 10}´ = {x: x ∈N and x ≤ 9/2}

(i) {x : x is an odd natural numbers} 

(ii) {x : x is an even natural numbers} 

(iii) {x: x is a natural number and not multiple of 3} 

(iv) {x : x is a positive composite number and x = 1} 

(x) {x : x ∈ N and x is not divisible by 3 and 5} 

(xi) {x: x ∈ N and x is not a perfect square} 

(xii) {x:x ∈ N and x is not a perfect cube} 

(xiii) {x:x ∈ 2V and x ≠ 3} (ix) {x:x ∈ 2V and x ≠ 2} 

(x) {1,2,3,4,5,6} 

(xi) {x:x ∈ N and 2x + 1 ≤ 10} = {1, 2, 3, 4}.