Question

U=(1, 3, 4, 7, 8, 9)
C=(3, 4, 7, 8)
D=(3,9)
Find the following sets.
Write your answer in roster form or as Ø.
(a)
CUD' =
WS.
(b) (CD)' = [
X
Ø

Answer 1

We get that C U D' = (1, 3, 4, 7, 8) and (C ∩ D) ' = (1, 4, 7, 8, 9) when sets U=(1, 3, 4, 7, 8, 9), C=(3, 4, 7, 8) and D=(3,9).

We are given the sets hat:

U = (1, 3, 4, 7, 8, 9)

C = (3, 4, 7, 8)

D = (3,9)

We have to find that:

1. C U D'

2. ( C ∩ D)'

We will first find D'

D' = U - D

D' = (1, 3, 4, 7, 8, 9) - (3, 9)

D' = (1, 4, 7, 8 )

Now, we get C U D' as:

(3, 4, 7, 8) U (1, 4, 7, 8)

= (1, 3, 4, 7, 8)

We get C ∩ D as:

(3, 4, 7, 8) ∩ (3,9)

= ( 3 )

(C ∩ D) ' = U - ( 3)

=  (1, 3, 4, 7, 8, 9) - ( 3 )

= (1, 4, 7, 8, 9)

Therefore, we get that C U D' = (1, 3, 4, 7, 8) and (C ∩ D) ' = (1, 4, 7, 8, 9) when sets U=(1, 3, 4, 7, 8, 9), C=(3, 4, 7, 8) and D=(3,9).

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