i have 2 algebra questions please fill all blanks need all

i have 2 algebra questions. please fill all blanks. ( need all answers please)

Let the universal set be S x EZ 133 11 1,2,3,4,5,6,7,8,9,10,11 Consider the following three sets A B xES: is a multiple of 2), {x E S : x is a multiple of 3), C = {z E S : z is prime) Enter the following sets. .AUB

Solution

S = {1,2,3,4,5,6,7,8,9,10,11}
A = {2,4,6,810}
B= {3,6,9}
C = {2,3,5,7,11}

a)
A intersection B = elements common in both A and B
= {6}
b)
A union B = all the elements and A and B
= {2,3,4,6,8,9,10}
C)
S - (A union B) = {1,2,3,4,5,6,7,8,9,10,11} - {2,3,4,6,8,9,10}
= {1,5,7,11}
D)
(AUB)^C = {2,3,4,6,8,9,10} ^ {2,3,5,7,11}
= {2,3}
E)
B^C = (3)
AU(B^C) = {null}

I am allowed to answer only 1 question at a time