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Standard IX

Mathematics

Complement of a Set

Taking the se...

Question

Taking the set of natural numbers as the universal set, write down the complements of the following sets:
{ $x : x$ is a perfect square}

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Solution

We know that
$U = N$ Set of natural numbers
{ $x : x$ is a perfect square}´ = { $x : x \in N$ and $x$ is not a perfect square}

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Q. 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 : 2 x + 5 = 9} (x) { x : x ≥ 7} (xi) { x : x ∈ N and 2 x + 1 > 10}

Q. 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 a perfect cube}

(viii)

{x : x + 5 = 8}

(ix)

{x : 2 x + 5 = 9}

(x)

{x : x \geq 7}

(xi)

{x : x ϵ N a n d 2 x + 1 > 10}

Taking the set of natural numbers as the universal set, write down the complement 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 a perfect cube}

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

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

(x) {x : x $\geq$ 7}

(xi) {x : x $\in$ N and 2x + 1 > 10}

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

(i) {x : x

is an even natural number

}

(i i) {x : x

is an odd narutal number

}

(i i i) {x : x

is a positive multiple of

3}

(i v) {x : x is a prime number}

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

(v i) {x : x is a perfect square}

(v i i) {x : x is a perfect cube}

(v i i i) {x : x + 5 = 8}

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

(x) {x : x \geq 7}

(x i) {x : x \in N and 2 x + 1 > 10}

Q. If U = {x: x is a whole number} (where U is an universal set) and A = {y: y is a natural number}, then the complement of set A is

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Taking the set of natural numbers as the universal set, write down the complements of the following sets:{x:x is a perfect square}

We know thatU=N Set of natural numbers{x:x is a perfect square}´ = {x:x∈N and x is not a perfect square}

Taking the set of natural numbers as the universal set, write down the complements of the following sets:
{ $x : x$ is a perfect square}

We know that
$U = N$ Set of natural numbers
{ $x : x$ is a perfect square}´ = { $x : x \in N$ and $x$ is not a perfect square}