Question

5) If A = {1, 2, 3, 4}, B = {3, 4, 5, 6},
C = {4, 5, 6, 7, 8} and universal set
X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, then verify
the following:
ii) A∩(B∪C) = (A∩B) ∪(A∩C)
iv) (A∩B)' = A'∪B'

Answer 1

Step-by-step explanation:

A = {1, 2, 3, 4},

B = {3, 4, 5, 6},

C = {4, 5, 6, 7, 8}

universal set

X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},

ii (B∪C ) = { 3,4,5,6,7,8 )

A = {1, 2, 3, 4},

A∩(B∪C) = { 3,4} ---------1

(A∩B) ∪(A∩C)

{ 3,4} U { 4}

{ 3,4} -------------2

yes it is equal

A∩(B∪C) = (A∩B) ∪(A∩C) is true