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3.1 Sets & Set Diagrams

3.1 Sets & Set Diagrams
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  • Math Help

    In the set diagram on page 107, the fish class is drawn as the complement of the union of birds, amphibians, mammals, and vertebrates.

  • Consumer Suggestion

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  • Checkpoint Solution

    Here is one possible set diagram for this information.

    Note that for the purpose of illustration, we have classified fish (like sharks) that have cartilage skeletons as vertebrate. Sharks and other cartilaginous fish (skates and rays) have skeletons made of cartilage and connective tissue. Cartilage has about half the density of bone. This reduces the skeleton's weight, saving energy.

  • Comments (4)

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     `____ `   | ||__      /   ||  | / \ ||  \ \/ //  
     /___//    | ||__     | [] ||  | \_/ ||   \  //   
     `__ `     |_____||    \__ ||   \___//     \//    
     /_//      `-----`      -|_||   `---`       `     
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    system user
    Guest   1 decade ago |
    I'm not sure I understand your cousin's concern with the checkpoint on Math & You page 107. I'm looking at a biology text that says, "The first vertebrates to possess both jaws and paired fins were the cartilaginous fishes, so called because their skeletons were made of firm but resilient cartilage." This includes sharks. Sharks are also listed as vertebrates at every web site I visit (encylcopedia.com, wikepedia, numerous educational sites). This site breaks it down nicely: http://users.tamuk.edu/kfjab02/Biology/Vertebrate%20Zoology/b3405_ch01.htm
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    system user
    Ron Larson (author)1 decade ago |
    When my cousin Michael read the checkpoint question, he wrote and told me that I might get some criticism from a biologist because sharks do not have regular skeletons of bone, as do other vertebrates. If you agree with this criticism, please drop me a note and suggest a way of making the checkpoint question more biologically correct.
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    system user
    Ron Larson (author)1 decade ago |
    Thanks for leaving the comment! Yes, I like pictures too. When my son was little, we bought him a colorful book about mathematics. I remember thinking how different it was to see a "math book" that was actually colorful and visually stimulating.
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    system user
    Guest   1 decade ago |
    There are a lot of pictures in this book. It's different than what I'm used to for textbooks, but I like it.
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