SOLUTION: 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 i

Algebra ->  Functions -> SOLUTION: 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 i      Log On


   

Question 244740: 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 solver91311(24713) About Me  (Show Source):
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The union is the set of the elements that are in one or the other or both of the sets. But only one of each -- if an element is in both sets, only one instance of the element is included in the union. Hint: The union set will have a total of eight elements.

The intersection is the set of elements that is in both sets. Hint: The intersection set has exactly three elements.

Because the instructions do not specify that Z be a proper subset of X, then Z could be exactly equal to X, or any set of fewer elements that could possibly be made of the elements of X, and including the empty set. Had the instructions specified that Z must be a proper subset of X, then Z would have to have at least one fewer elements than X, and that includes the possibility of the empty set.

John