Set U: All natural numbers
Set E: All even numbers
Find the complement of E
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Answer:
All natural odd numbers.
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SOLUTION
GIVEN
U : All natural numbers
E : All even numbers
TO DETERMINE
The complement of E
EVALUATION
Here the given that
U : All natural numbers
∴ U = { 1 , 2 , 3 , 4 , 5 , 6 , .... }
E : All even numbers
∴ E = { 2 , 4 , 6 , 8 , .... }
The complement of E
= E'
= U - E
= { 1 , 3 , 5 , 7 , 9 , .... }
= The set of odd numbers
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If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).
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2. If A, B and C are any three sets
then prove the following using venn-diagram
A∩(BUC) = (A∩B) U (A∩C)
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