Real Numbers and Subsets
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How would you accurately describe the relationship between two sets in terms of subsets?

  • If the intersection of set A and set B is empty, then A is a subset of B
  • If the union of set A and set B gives the universal set, then A is a subset of B
  • If every element of set A is also an element of set B, then A is a subset of B (correct)
  • If the cardinality of set A is larger than the cardinality of set B, then A is a subset of B

    • What accurately describes the concept of a subset in relation to real numbers?

  • A subset is a set that contains both real and imaginary numbers
  • A subset is a set that contains only even numbers
  • A subset is a set that contains prime numbers
  • A set A is a subset of set B if every element of A is also an element of B (correct)

    • In the context of real numbers, what accurately defines a proper subset?

  • A proper subset has more elements than the other set
  • A proper subset has fewer elements than the other set
  • A proper subset has the same elements as the other set
  • A proper subset contains some, but not all, elements of another set (correct)

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