Question

define universal set ??plz tell me with best explanation​

Answer 1

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Q:-define and explain universal set with suitable examples

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⟹Universal set is the set which contains all the elements of the other sets.

⟹Lets take an example :-

Let A={1,2,3,4}. ,B={3,4,5,6}. ,C={6,7,8,9,10}

So,universal set will have all the elements of set A,B &C

∴U={1,2,3,4,5,6,7,8,9,10}

☛Remember:-All the sets are the subsets of universal sets.

A⊂U

B⊂U

C⊂U

HOPE IT HELPS YOU..

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Thankyou:)

Answer 2

Answer:

Universal set is a set that contains all the elements of the given sets . Which means all the given sets are subsets of this universal set.

Step-by-step explanation:

We shall understand its definition through an example -

A= {1,2,3,4}

B={x: x is an odd prime number} = {3,5,7,...}

C={x: x is a factor of 60} = {1,2,3,4,5,6,10,12,15,20,60}

D ={ x : x is a natural number less than 100 } = { 1,2,3,4,....,100}

We can notice that the three sets namely A , B and C are subsets of set D. All the elements presenting in set D can also be seen in Set A, B and C.

From this example we can conclude that "set D is the universal set."

Generally universal set is represented through capital letter U.

Thank you.