Question

4. 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:
(i) B ∪ C
(ii) A ∪ D
(iii) C ∪ D
(iv) A ∩ C

Answer 1

Answer:

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

Answer 2

Answer:

answer to the above question is

A={1,2,3,4,5,6,7}

B={2,4,6,8,10}

C={6,9,12,15}

D={8,12,16}

1. B U C ={2,4,6,8,9,10,12,15}
2. A U D ={1,2,3,4,5,6,7,8,12,16}
3. C U D ={6,8,9,12,15,16}
4. A n C ={6}