Question 1126851

Universal Set { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 1, 3, 5, 7, 9} and Set B – { 0, 1, 5, 6, 8, 10}

Answer the following questions.

a) 

recall: A∩B means: the new set that contains every element that is in {{{both }}}of the input sets; only things inside both of the input sets get added to the new set

A – { {{{1}}}, 3, {{{5}}}, 7, 9} and B – { 0, {{{1}}}, {{{5}}}, 6, 8, 10}

A∩B ={ 1,5} 


b) 
AUB means: the new set that contains every element from either of A and B; if a thing is in either one of these sets, it's in the new set

if you have A – { 1, 3, 5, 7, 9} and  B – { 0, 1, 5, 6, 8, 10}

AUB ={ 0, 1, 3,5, 6, 7,8, 9,10}

c) 


A U B’ 
 = > first find B’
B' is everything outside B that is within the universal set,

U={ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
B={ 0, 1, 5, 6, 8, 10}
B' ={2,3,4,7,9}
A ={ 1, 3, 5, 7, 9}
AU B’ ={1,  2, 3, 4, 5,7,  9}


d) n(A∩B)c =2

e) 

B – A = { 0, 1, 5, 6, 8, 10}– { 1, 3, 5, 7, 9}={0, 6, 8, 10}

f) 

A’∩ B 
 = > first find A’
A' is everything outside A that is within the universal set,

U={ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A ={ 1, 3, 5, 7, 9}
A’={0,2,4,6,8,10}
B={ 0, 1, 5, 6, 8, 10}
A’∩ B ={  0, 6, 8, 10}