Answer
a) {4,6}
b) {0,1,2,3,4,5,6,7,8,9,10}
c) {4,5,6,8,10}
d) {0,2,4,5,6,7,8,9,10}
Work Step by Step
A = {0,2,4,6,8,10} B= {0,1,2,3,4,5,6} C={4,5,6,7,8,9,10}
a) It is simply the set of element that are common to the 3 sets. Only 4 and 6 are elements of the 3 sets.
b) Since it is the union of the 3 sets, it is a set that contains all the element that has appeared at least once in any of the 3 sets.
c) It is a set that appears in both the set C and the set (A$\cup$B) which means element that is in neither A or B, but it has to also be in C.
d) It is a set that is the union of C and the set (A$\cap$ B). Which means that the element has to be in A and B , OR simply be in the set C.
