Practice set four

Find the \(A \cup B\)

 
  • Find the union of the sets A = {x | x is a positive integer less than 6} and B = {x | x is a positive integer greater than 2 and less then 8}.

  • Find the union of the sets A = {x | x is a letter in the word "mathematics"} and B = {x | x is a vowel}.

  • Find the union of the sets A = {x | x is an even integer between -10 and 10} and B = {x | x is an odd integer between -5 and 5}.

  • Find the union of the sets A = {x | x is a prime number less than 10} and B = {x | x is a composite number less than 10}.

  • Find the union of the sets A = {x | x is a multiple of 3} and B = {x | x is a multiple of 5}.

  • Find the union of the sets A = {x | x is a positive integer less then 35 that can be expressed as the sum of two cubes} and B = {x | x is a positive integer less then 26 that can be expressed as the sum of two squares}.

  • Find the union of the sets A = {x | x is a natural number that is the square of an integer} and B = {x | x is a natural number that is the cube of an integer}.

  • Find the union of the sets A = {x | x is an element of the Fibonacci sequence} and B = {x | x is an element of the Lucas sequence}.

  • Find the union of the sets A = {x | x is a real number that is a solution to the equation x^2 + 2x - 3 = 0} and B = {x | x is a real number that is a solution to the equation x^2 - 5x + 6 = 0}.

  • Find the union of the sets A = {x | x is a point in the Cartesian plane that is inside a circle with radius 2} and B = {x | x is a point in the Cartesian plane that is inside a square with side length 4}.

  • Find the union of the sets A = {x | x is a color in the rainbow} and B = {x | x is a color in the visible spectrum}.













  • ANSWERS

  • A = {1, 2, 3, 4, 5}, B = {3, 4, 5, 6, 7}, A U B = {1, 2, 3, 4, 5, 6, 7}

  • A = {m, a, t, h, e, m, a, t, i, c, s}, B = {a, e, i, o, u}, A U B = {m, a, t, h, e, m, a, t, i, c, s, o, u}

  • A = { -8, -6, -4, -2, 0, 2, 4, 6, 8}, B = {-3, -1, 1, 3}, A U B = { -8, -6, -4, -3, -2, -1, 0, 1, 2, 3, 4, 6, 8,}

  • A = {2, 3, 5, 7}, B = {4, 6, 8, 9}, A U B = {2, 3, 4, 5, 6, 7, 8, 9}

  • A = {3, 6, 9, 12, ...}, B = {5, 10, 15, 20, ...}, A U B = {3, 5, 6, 9, 10, 12, 15, ...}

  • A = {8, 15, 34}, B = {4, 5, 9, 16, 25}, A U B = {4, 5, 8, 9, 15, 16, 25, 34}

  • A = {1, 4, 9, 16, ...}, B = {1, 8, 27, 64, ...}, A U B = {1, 4, 8, 9, 16, 27, 64, ...}

  • A = {0, 1, 1, 2, 3, 5, 8, 13, ...}, B = {2, 1, 3, 4, 7, 11, 18, 29, ...}, A U B = {0, 1, 1, 2, 1, 2, 3, 4, 5, 7, 8, 11, 13, 18, 29, ...}

  • A = {1, -3}, B = {-1, 2}, A U B = {-3, -1, 1, 2}

  • A = {(x, y) | x^2 + y^2 <= 4}, B = {(x, y) | -2 <= x <= 2 and -2 <= y <= 2}, A U B = {(x, y) | -2 <= x <= 2 and -2 <= y <= 2 or x^2 + y^2 <= 4}

  • A = {red, orange, yellow, green, blue, indigo, violet}, B = {violet, blue, green, yellow, orange, red}, A U B = {red, orange, yellow, green, blue, indigo, violet}

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