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[introductory music] Yesterday, I was trying to figure out how many houses are on my street and how many of those houses have pets in them. So I asked my friend John to go figure it out. I figured hed just walk down the street, count the houses, ask people if they have pets, and just bring me a tally. But heres what he brought back. He told me 14 houses have cats, 19 have dogs, 6 have both, and 5 have neither cats nor dogs, and they dont have any other pets. So I asked John, well, how does this help me? I just figured you were just going to bring me two numbers. He said, Well, youre the math guy, youll figure it out. So, I am the math guy, so I do have to figure this out. I cant just add up all the numbers because, well, these people are counted here and here, so I cant just add up all the numbers. So what I did instead, I started with a diagram. First I drew a big box, and this would be my street, and all the houses on my street, Im gonna put em in the box. Im gonna make
