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← Subsets - College Algebra

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Showing Revision 3 created 05/24/2016 by Udacity Robot.

  1. We've been using the word set to describe
    these different groups of numbers and
  2. that's exactly what a set is, a collection
    of numbers. So, the natural numbers is the
  3. set 1,2,3 and so forth. And the whole
    numbers is the set 0, 1, 2, 3 and so
  4. forth. And we might represent the set of
    integers like this with ellipses on both
  5. ends to represent going on to infinity. We
    usually denote sets with these curly
  6. braces around the numbers and commas
    between the numbers we give certain sets.
  7. Like the ones we've talked about special
    names. But really a set can be made up of
  8. any numbers that we put together for
    whatever reason. So for example, this set
  9. -4, 7, 19 is a set. And so is -38, 56,
    100.5. As is 9. Now, since all of the
  10. numbers in the set of natural numbers are
    also in the set of whole numbers, we call
  11. the natural numbers a subset of the whole
    numbers. A subset of a set, is another set
  12. of numbers that are all contained in the
    original set. So its a little bit of
  13. practice to make sure you understand what
    sets and subsets are. Here's a random set
  14. of numbers, -4 -3, 0, 0.6, 1, 5, and 8. Which
    of the choices below are subsets of the
  15. set? You may pick more than one answer.