Taking the set of natural numbers as the universal set, write down the

1.	Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x: x is an even natural number} (ii) {x: x is an odd natural number} (iii) {x: x is a positive multiple of 3} (iv) {x: x is a prime number} (v) {x: x is a natural number divisible by 3 and 5} (vi) {x: x is a perfect square} (vii) {x: x is perfect cube} (viii) {x: x + 5 = 8} (ix) {x: 2x + 5 = 9} (x) {x: x ≥ 7} (xi) {x: x ∈ N and 2x + 1 > 10}
Answer» Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x: x is an even natural number} (ii) {x: x is an odd natural number} (iii) {x: x is a positive multiple of 3} (iv) {x: x is a prime number} (v) {x: x is a natural number divisible by 3 and 5} (vi) {x: x is a perfect square} (vii) {x: x is perfect cube} (viii) {x: x + 5 = 8} (ix) {x: 2x + 5 = 9} (x) {x: x ≥ 7} (xi) {x: x ∈ N and 2x + 1 > 10}

Taking the set of natural numbers as the universal set, write down the complements of the following sets: (i) {x: x is an even natural number} (ii) {x: x is an odd natural number} (iii) {x: x is a positive multiple of 3} (iv) {x: x is a prime number} (v) {x: x is a natural number divisible by 3 and 5} (vi) {x: x is a perfect square} (vii) {x: x is perfect cube} (viii) {x: x + 5 = 8} (ix) {x: 2x + 5 = 9} (x) {x: x ≥ 7} (xi) {x: x ∈ N and 2x + 1 > 10}

Answer»

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

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

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

(iii) {x:
x
is a positive multiple of 3}

(iv) {x:
x
is a prime number}

(v) {x:
x
is a natural number divisible by 3 and 5}

(vi) {x:
x
is a perfect square}

(vii) {x:
x
is perfect cube}

(viii) {x:
x
+ 5 = 8}

(ix) {x:
2x
+ 5 = 9}

(x) {x:
x
≥ 7}

(xi) {x:
x
∈
N and 2x
+ 1 > 10}