# Set Theory Problems

Create two sets, set A and set B.

Set A will be a list of five items you personally NEED to buy the most (essential items).

Set B will be a list of five items that you WANT to buy the most (fun stuff).

List the items in Set A and Set B, and also list or state the items in the union and in the intersection of Set A and Set B.

Now assume that the prices of the items in your set A are 20, 40, 60, 70 and 80. Assume that the prices of the items in your set B are 90, 120, 30, 60 and 40.

Note: if you have one or two identical items in both sets, then assume that the prices of the identical items are the same as the prices that appear in set A (instead of having two different prices to the same item.)

What will the total cost of Set A be if it contains one unit of each item? What will the total cost of the union set be if it contains one unit of each item? What will be the total cost of the intersection?

What will the total cost of the union and of the intersection be if you consider two set A's and three set B's ?

Expectations:

Identify a set and elements of the set that would make up subsets. from the original set.

Distinguish between improper and proper subsets.

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#### Solution Preview

Let A= {soup, laptop charger, pack of rewriteable dvd's, bread, gallon of water}

B= { baseball cap, soccer ball, monopoly game, pack of rewriteable dvd's, laptop charger}

AUB = {soup, laptop charger, pack of rewriteable dvd's, bread, gallon ...

#### Solution Summary

This solution provides calculations and answers for union and the intersection of two countable sets.