Question

Dados os conjuntos:
a= {0,3,4,5,6,7,8}
b= {2,4,5,6,9}
c= {0,3,6,9,10}

Determine:
a= A U B

b= A ∩ B

c=(A ∩ B) U c

d= (A U C) ∩ B

e= AU (B ∩ C)

Answer 1

a= {0,3,4,5,6,7,8}
b= {2,4,5,6,9}
c= {0,3,6,9,10}

a= A U B =  {0,2,3,4,5,6,7,8,9}

b= A ∩ B = {4,5,6}

c=(A ∩ B) U C =  {4,5,6} U {0,3,6,9,10} =  {0,3,4,5,6,9,10}

d= (A U C) ∩ B = {0,3,4,5,6,7,8,9,10} ∩ {2,4,5,6,9} = {4,5,6,9}

e= AU (B ∩ C ) = {0,3,4,5,6,7,8} U  {6,9} =  {0,3,4,5,6,7,8,9}