Set Theory and Union
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Questions and Answers

Which symbol is used to denote the union of sets?

  • ∪ (correct)
  • ∈
  • ⊆
  • ∩

    • What is the result of a nullary union?

  • An empty set (correct)
  • A set with only one element
  • A set with all elements in the collection
  • A set with all elements in the collection except one

    • In set-builder notation, how is the union of sets A and B represented?

  • A ∪ B (correct)
  • A ⊂ B
  • A ∩ B
  • A ∈ B

    • What is the union of sets A = {1, 3, 5, 7} and B = {1, 2, 4, 6, 7}?

    <p>{1, 2, 3, 4, 5, 6, 7}</p> Signup and view all the answers

    What is the union of sets A = {x is an even integer larger than 1} and B = {x is an odd integer larger than 1}?

    <p>{2, 3, 4, 5, 6, ...}</p> Signup and view all the answers

    Which of the following is true about factoring polynomials?

    <p>Factoring is the inverse procedure of multiplying polynomials</p> Signup and view all the answers

    What are the factors of the polynomial $2x^2 - 2x$?

    <p>$2x$ and $(x-1)$</p> Signup and view all the answers

    What are the factors of the polynomial $2x^2 - 3x - 5$?

    <p>$(x+1)$ and $(2x-5)$</p> Signup and view all the answers

    What is the purpose of factoring polynomials?

    <p>To write a polynomial as a product of two or more polynomials</p> Signup and view all the answers

    Which property of factoring makes it extremely useful in mathematics?

    <p>It allows us to write a polynomial as a product of two or more polynomials</p> Signup and view all the answers

    Which method can be used to factor a trinomial with a prime number as the leading coefficient?

    <p>The A-C method of factoring</p> Signup and view all the answers

    What is the result of factoring the trinomial $2m^2 - 11m + 15$?

    <p>$(2m-5)(m-3)$</p> Signup and view all the answers

    Which type of trinomials does the A-C method of factoring work easily for?

    <p>Factorable trinomials with a leading coefficient other than 1</p> Signup and view all the answers

    What is the first step in the A-C method of factoring?

    <p>Multiply the coefficient of the first term by the coefficient of the last term</p> Signup and view all the answers

    What are the two numbers used to split the middle term in the A-C method of factoring?

    <p>Numbers that multiply to be the product of the first and last coefficients and add to be the coefficient of the middle term</p> Signup and view all the answers

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