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Sets

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  • well-defined or not? "all easy problems in your textbook"
    not well-defined
  • well-defined or not? "first five counting numbers"
    well-defined
  • State whether the elements form a set that is well-defined or not well-defined. "last three days of the week"
    well-defined
  • A = {1, 3, 7, 9, 10} B = {2, 5, 7, 8, 9, 10}, find A ∩ B
    A ∩ B = {7, 9, 10}
  • A = {2, 3, 4, 5}, B ={c, d, e, f} and C = {4, 5, 6, 7}, find (A ∪ B) ∩ (A ∪ C)
    (A ∪ B) ∩ (A ∪ C) = {2, 3, 4, 5}
  • C = {0, 1, 3} and B = {2, 5, 7, 8, 9, 10}, find B ∩ C
    B ∩ C = { }
  • A = {2, 3, 4, 5}, B ={c, d, e, f} and C = {4, 5, 6, 7}, find A ∪ (B ∩ C)
    A ∪ (B ∩ C) = {2, 3,4, 5, c, d, e, f}
  • well-defined or not? "set of young politicians"
    not well-defined
  • set P is the set of numbers less than 5. Set T is the set of numbers between 1 and 6
    P∩𝑇={2, 3, 4}
  • X={a,c,e,g,i}, Y={b,c,e,f}, and Z={b,d,f}, find Z ∩ (X ∪ Y)
    Z ∩ (X ∪ Y) = {b, f}
  • A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16}, find A ∪ B
    A ∪ B = {2, 3, 4, 6, 8, 9, 10, 12, 15}
  • X={a,c,e,g,i}, Y={b,c,e,f}, and Z={b,d,f}, find Y ∪ (Z ∩ X)
    Y ∪ (Z ∩ X) = {b, c, e, f}
  • Well-defined or not? "five red flowers"
    well-defined
  • A = {1, 2, 3, 6, 7, 11, 16, 4} B = {1, 2, 3, 7} C = {6, 7, 10} Find A ∩ B
    A ∩ B = {1, 2, 3, 7}
  • set Q is the set of numbers less than 10 that is divisible by 3 Set Y is the set of numbers between 1 and 5
    Q∩𝑌={3}
  • A = {1, 2, 3, 6, 7, 11, 16, 4} B = {1, 2, 3, 7} C = {6, 7, 10} Find B ∪ C
    B ∪ C = {1, 2, 3, 6, 7, 10}
  • well-defined or not? "five red flowers"
    well-defined
  • A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and set C = {1, 4, 7, 10, 13, 16}, find A ∩ B
    A ∩ B = {6, 12}