Question

Sendo U = { 1,2,3,4,5,6,7,8,9}; A = { 1,3,4,5,7,9}; B = { 2,4,5,6,7,8,} e C = {1,2,3,5},calcule:
a) (A - B) ∩ C = ?
b) (B - A) ∩ C = ?
c) (A ∩ B) ∪ C = ?
d) Cᴬᵁᴮ =?

Answer 1

Explicação passo-a-passo:

a)

PASSO 1:

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

PASSO 2:

(A - B) ∩ C =  {1,3,9}  ∩ {1,2,3,5} = {1,3}

b)

PASSO 1:

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

PASSO 2:

(B - A) ∩ C = {2,6,8} ∩  {1,2,3,5} = {2}

c)

PASSO 1:

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

PASSO 2:

(A ∩ B) ∪ C = {4,5,7} U {1,2,3,5} = {1,2,3,4,5,7}

d) nao posso ajudar... :(