define universal set ??plz tell me with best explanation
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define universal set ??plz tell me with best explanation
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[tex]\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}[/tex]
[tex]\red{\bold{\underline{\underline{QUESTION:-}}}}[/tex]
Q:-define and explain universal set with suitable examples
[tex]\huge\tt\underline\blue{ANSWER }[/tex]
------>>>>Here is your answer<<<<--------
⟹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..
_____________________
Thankyou:)
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.