L07_Wed_Jan_27

# L07_Wed_Jan_27 - MAE3811Sp 2010 Mahoney1 Last time we...

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1 MAE3811–Sp. 2010 Mahoney–1 Last time we learned about set operations and the master set diagrams. Recall the two set Master Diagram: We can write each region as the intersection of A, B, and their compliments. We can also write A and B as the union of certain regions. Notice that each region is a disjoint from all others. MAE3811–Sp. 2010 Mahoney–2 Now let’s try it on the three set Master Diagram.

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2 MAE3811–Sp. 2010 Mahoney–3 Last time we learned that… The definition on the left is “Everything Not in A but in B” Alternative we could say, “Everything in B except things in A” that is… take A away from B. Hence, the notation. Let’s review how to use regions to show they are equivalent again. Let’s try it again, this time to conclude one of the two “Set De Morgan’s Laws”: MAE3811–Sp. 2010 Mahoney–4 Let’s use our Master diagram and Region names to show the following is true for all sets
3 MAE3811–Sp. 2010 Mahoney–5 Example: In a fraternity with 33 members, 18 take mathematics, 5 take both

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L07_Wed_Jan_27 - MAE3811Sp 2010 Mahoney1 Last time we...

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