Question 250171: 1. Set X = {5, 7, 11, 13, 16,19}, Set Y = {1, 2, 5, 13, 19}
a. What is the union of Sets X and Y?
b. What is the intersection of Sets X and Y
c. Create your own set Z that is a subset of Set X.
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website! 1. Set X = {5, 7, 11, 13, 16,19}, Set Y = {1, 2, 5, 13, 19}
a. What is the union of Sets X and Y?
If an element is a member of X, or is a member of Y,
or is a member of both X and Y, then it is a member
of the union of sets X and Y.
So the union of X and Y is this set:
{1, 2, 5, 7, 11, 13, 16, 19}
b. What is the intersection of Sets X and Y
For an element to be a member of the intersection
it must be both a member of X and also a member of Y.
(Intersection is more restrictive than union.)
So the intersection of sets X and Y is this set:
{5, 13, 19}}}
c. Create your own set Z that is a subset of Set X.
Set Z can be any of these. Take your pick:
{ }
(5}
{7)
{11}
{13}
{16}
{19}
{5, 7}
{5, 11}
{5, 13}
{5, 16}
{5, 19}
{7, 11}
{7, 13}
{7, 16}
{7, 19}
{11, 13}
{11, 16}
{11, 19}
{13, 16}
{13, 19}
{16, 19}
{5, 7, 11}
{5, 7, 13}
{5, 7, 16}
{5, 7, 19}
{5, 11, 13}
{5, 11, 16}
{5, 11, 19}
{5, 13, 16}
{5, 13, 19}
{5, 16, 19}
{7, 11, 13}
{7, 11, 16}
{7, 11, 19}
{7, 13, 16}
{7, 13, 19}
{7, 16, 19}
{11, 13, 16}
{11, 13, 19}
{11, 16, 19}
{13, 16, 19}
{5, 7, 11, 13}
{5, 7, 11, 16}
{5, 7, 11, 19}
{5, 7, 13, 16}
{5, 7, 13, 19}
{5, 7, 16, 19}
{5, 11, 13, 16}
{5, 11, 13, 19}
{5, 11, 16, 19}
{5, 13, 16, 19}
{7, 11, 13, 16}
{7, 11, 13, 19}
{7, 11, 16, 19}
{7, 13, 16, 19}
{11, 13, 16, 19}
{5, 7, 11, 13, 16}
{5, 7, 11, 13, 19}
{5, 7, 11, 16, 19}
{5, 7, 13, 16, 19}
{5, 11, 13, 16, 19}
{7, 11, 13, 16, 19}
{5, 7, 11, 13, 16, 19}
Edwin
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