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?
Practice Questions
1 question
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?
The hybrid set will have a cardinality of 8.
The hybrid set will have a cardinality of at least 5.
The hybrid set will have a cardinality of 3.
The hybrid set will have a cardinality of 2.
The cardinality of the hybrid set will be at least the maximum of the two sets, which is 5, but could be more if there are common elements.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution: The cardinality of the hybrid set will be at least the maximum of the two sets, which is 5, but could be more if there are common elements.
Steps: 6
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.
