Let A = set of natural numbers less than 8, B = {even natural numbers less than 12} C = {Multiples of 3 between 5 and 15},and D = {Multiples of 4 greater than 6 and less than 20}; Find: 1. (B ∩ D) B ∪ C 2. A ∪ D 3. C ∪ D 4. A ∩ C 5. (B ∩ C) ∪ A 6. (D ∪ A) ∩ B 7. (A ∩ C) ∪ 8. (B ∪ D) ∩ (C ∪ A)
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Answer:
As you say
Step-by-step explanation:
First write the given sets in roaster form
let
A= ( 1, 2, 3, 4, 5, 6, 7 )
B = ( 2, 4, 6, 8, 10 )
C = ( 6, 9, 12 )
D = ( 8, 12, 16 )
now
i) B U C = ( 2, 4, 6, 8, 9, 10, 12 )
ii) A U D = ( 1, 2, 3, 4, 5, 6, 7, 8, 12, 16 )
iii) C U D = ( 6, 8, 9, 12, 16 )
iv) 6
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