In a hybrid set, if the cardinality of set G is 5 and the cardinality of set H i

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Question: In a hybrid set, if the cardinality of set G is 5 and the cardinality of set H is 3, what can be inferred about their union?

Options:

Correct Answer: The union has a cardinality of at least 5.

Solution:

The union of two sets will have a cardinality that is at least as large as the larger set, which is set G in this case.

In a hybrid set, if the cardinality of set G is 5 and the cardinality of set H is 3, what can be inferred about their union?

In a hybrid set, if the cardinality of set G is 5 and the cardinality of set H is 3, what can be inferred about their union?

Step 1: Understand what cardinality means. Cardinality is the number of elements in a set.
Step 2: Identify the cardinality of set G, which is 5.
Step 3: Identify the cardinality of set H, which is 3.
Step 4: Know that the union of two sets combines all unique elements from both sets.
Step 5: Since set G has 5 elements and set H has 3 elements, the union will have at least 5 elements.
Step 6: The union can have more than 5 elements only if there are elements that are common to both sets, but it cannot have fewer than 5.

Set Theory – Understanding the properties of sets, including cardinality and union.
Union of Sets – The union of two sets combines all unique elements from both sets.