If hybrid set G is formed by the union of sets H and I, which of the following is true?
Practice Questions
1 question
Q1
If hybrid set G is formed by the union of sets H and I, which of the following is true?
Set G will have fewer elements than set H.
Set G will have fewer elements than set I.
Set G will have at least as many elements as the larger of set H or set I.
Set G cannot contain any elements from set H.
The union of two sets will always have at least as many elements as the larger of the two sets, including unique elements.
Questions & Step-by-step Solutions
1 item
Q
Q: If hybrid set G is formed by the union of sets H and I, which of the following is true?
Solution: The union of two sets will always have at least as many elements as the larger of the two sets, including unique elements.
Steps: 5
Step 1: Understand what a set is. A set is a collection of distinct objects or elements.
Step 2: Know what the union of two sets means. The union of two sets, H and I, combines all the elements from both sets without duplicating any elements.
Step 3: Identify the larger set between H and I. This is the set that has more elements.
Step 4: Realize that when you combine the two sets (H and I), the total number of elements in the union (set G) will be at least as many as the larger set.
Step 5: Remember that unique elements are counted only once in the union, so if both sets have some elements in common, those common elements will only be counted once.
