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Standard VII

Mathematics

Universal Set

If A = x : x ...

Question

If A = {x: x is prime number}, then which of the following can be the Universal set of A?

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A ∩ B

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Solution

The correct option is C
B

A = {2, 3, 5, 7, 11, ......}

Any set that contains all the elements of the set under consideration is called the universal set.

So, the universal set of A is U = {set of natural numbers}

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Similar questions

If A = {x: x is a natural number}

B = {x: x is even natural number}

C = {x: x is prime number}

Then (A ∪ B)∩ C =

If A = {x: x is a natural number}

B = {x: x is an even natural number}

C = {x: x is a prime number}

Then (A $\cup$ B) $\cap$ C =

Q. If A = {1, 3, 5, 7, 9, 11, 13, 15, 17}, B ={2, 4, ......, 18} and N, the set of natural numbers is the universal set, then

(A^{'} \cup [(A \cup B) \cap B^{'}])

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}

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}

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If A = {x: x is prime number}, then which of the following can be the Universal set of A?

The correct option is C B A = {2, 3, 5, 7, 11, ......} Any set that contains all the elements of the set under consideration is called the universal set. So, the universal set of A is U = {set of natural numbers}

The correct option is C
B

A = {2, 3, 5, 7, 11, ......}

Any set that contains all the elements of the set under consideration is called the universal set.

So, the universal set of A is U = {set of natural numbers}