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) A∩B =
b) AUB =
c) AU B’ =
d) n(A∩B)c =
e) B – A =
f) A’∩ B =
Answer by MathLover1(20849)   (Show Source):
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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  of the input sets; only things inside both of the input sets get added to the new set
A – {  , 3,  , 7, 9} and B – { 0, , , 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}
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