Question

0, 41,4,9,10} 22. If u ={1,2,3,4,5,6,7,8,9,10; and A={5,6,7,8,9,10) then (A) = 1){1,2,3,4} 2){2,3,4,5) 3){5,6,7,8,9 = 4) (5,6,7,8,9,10)
please answer this question​

Answer 1

Answer:

• U={1,2,3,4,5,6,7,8,9}
• A={2,4,6,8}
• B={2,3,5,7}

(i) (A∪B)`

• ={2,3,4,5,6,7,8}`={1,9}
• A`∩B` ={1,3,5,7,9}∩{1,4,6,8,9}={1,9}
• ∴(A∪B)`=A`∩B`

(ii) (A∩B)`

• ={2}`={1,3,4,5,6,7,8,9}
• A`∪B` ={1,3,5,7,9}∪{1,4,6,8,9}={1,3,4,5,6,7,8,9}
• ∴(A∩B)`=A`∪B`