In a hybrid set, if the cardinality of set A is 5 and set B is 3, what can be in

Practice Questions

Q1
In a hybrid set, if the cardinality of set A is 5 and set B is 3, what can be inferred about the hybrid set formed by their union?
  1. The hybrid set will have a cardinality of 8.
  2. The hybrid set will have a cardinality of at least 5.
  3. The hybrid set will have a cardinality of 3.
  4. The hybrid set will have a cardinality of 2.

Questions & Step-by-Step Solutions

In a hybrid set, if the cardinality of set A is 5 and set B is 3, what can be inferred about the hybrid set formed by their union?
  • Step 1: Understand what cardinality means. Cardinality is the number of elements in a set.
  • Step 2: Identify the cardinality of set A, which is 5.
  • Step 3: Identify the cardinality of set B, which is 3.
  • Step 4: Determine the maximum cardinality between the two sets. The maximum is 5 (from set A).
  • Step 5: Consider that when you combine (union) two sets, the total number of unique elements could be equal to the maximum cardinality or more if there are common elements.
  • Step 6: Conclude that the cardinality of the hybrid set (union of set A and set B) will be at least 5, but could be higher if there are elements that are in both sets.
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