Math Problem Statement
Let the Universal set be the letters a through j: U = {a, b, ..., i, j}.
Let A = {a, b, c, g}, B = {b, f, g, h}, and C = {c, d, f, g}
List the elements of the set A∩(B∪C)
Solution
To find the elements of the set , we'll follow these steps:
Step 1: Find
The union of sets and (denoted ) includes all elements that are in either or :
So,
Step 2: Find
Now, we find the intersection of set with . The intersection (denoted ) includes all elements that are in both and :
The common elements between and are , , and .
Thus,
So, the elements of the set are:
Do you need any more details or have any questions?
- How would you find ?
- What is the complement of set with respect to ?
- Can you list the elements of ?
- How do you determine the difference ?
- What would be the result of ?
Tip: The union of sets combines all unique elements, while the intersection selects only the elements common to both sets.
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Math Problem Analysis
Mathematical Concepts
Set theory
Union
Intersection
Complement
Formulas
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Theorems
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Suitable Grade Level
High school