Question

If & = {0, 1, 2, 3, ..., 9), A = {0, 2, 4, 6, 8) and B = {0, 3, 5, 7, 9), then verify that: (i) (AUB)' = A' B' ​

Answer 1

Answer:

u=(1,2,3,4,5,6,7,8,9)

a,=(2,4,6,8)

b=(2,3,5,7)

Step-by-step explanation:

(I) (a u b)' =(2,3,4,5,6,7,8)'=(1,9)

A'UB'=(1,3,5,7,9)U(1,4,6,8,9)=(1,9)

°.. (a u b ')=a'u b'

(II) (a u b) '=(2)'=(1,3,4,5,6,7,8,9)

a'u b'=(1,3,5,7,9) U (1,4,6,8,9)=

(1,3,4,5,6,7,8,9)

°.. (a u b) '=a, ub'

I Hope it's help ful you