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Question

Find the complement of the set given that U = {x | x is in I and −3 ≤ x ≤ 10}. (Enter your answers as a comma-separated list.){x | x is in I and −2 ≤ x < 5}

Answer

-3, -1, 5, 6, 7, 8, 9, 10

  • Q:What is the given set? A: {x | x is in I and −2 ≤ x < 5}
  • Q:What is the universal set U? A: U = {x | x is in I and −3 ≤ x ≤ 10}.
  • Q:What is the complement of the given set? A: {x | x is in U and x not in {x | x is in I and −2 ≤ x < 5}}.
  • Q:What is the set {x | x is in I and −2 ≤ x < 5}? A: {−2, −1, 0, 1, 2, 3, 4}.
  • Q:What is the set {x | x is in U and x not in {x | x is in I and −2 ≤ x < 5}}? A: {−3, −1, 5, 6, 7, 8, 9, 10}.