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# Finite

Question | Answer |
---|---|

Set | well-defined collection of objects. denoted by uppercase letter A,B,C |

Element | the objects of a set denoted by lowercase letters a,b,c |

Well defined set | facts |

3 methods to represent a set | 1. word description 2. roster method 3. set-builder notation |

Empty set | unique set having no elements |

cardinal number | natural numbers used to measure the cardinality (size) of sets |

equivalent set | have the same cardinality |

finite set | set that has a finite number of elements. |

infinite set | a set that is not a finite set |

equal sets | have the exact same elements in them, |

subset | relationship of one set being a subset of another |

proper subset | a set A is a subset of A that is not equal to A . In other words, if B is a proper subset of A , then all elements of B are in A but A contains at least one element that is not in B |

number of subsets | number of subsets |

number of proper subsets | number of proper subsets |

universal set | the set containing all objects or elements and of which all other sets are subsets. |

venn diagram | shows the relationship among three overlapping sets X, Y, and Z. |

disjoint sets picture | |

proper subsets picture | |

equal sets picture | |

sets w/ some common elements picture | |

complement of a set | When all sets under consideration are considered to be subsets of a given set U |

union of a set | the set of all elements in the collection |

intersection of a set | the set that contains all elements of A that also belong to B |

cardinal number of union of 2 finite sets | Two finite sets have the same cardinality only if they have the same number of elements. |

Created by:
trinitylintz