Math Problem Statement
Let U = { 6, 7, 8, 9, 10, 11, 12 }, A = { 8, 10, 11, 12 }. Use the roster method to write the set Upper A prime. Question content area bottom Part 1 Upper A primeequalsStartSet nothing EndSet
(Use a comma to separate answers as needed.)
Solution
To find (the complement of set relative to set ), we need to identify all the elements in the universal set that are not in .
Given:
The complement of , denoted , consists of the elements in that are not in .
By inspection:
So, the elements that are in but not in are and .
Thus, .
Final Answer:
Would you like further clarification on this or have any questions about set complements?
Here are some related questions:
- How do you find the union of two sets?
- What is the difference between a set and a subset?
- How do you determine the intersection of two sets?
- What is the power set of a given set?
- How do you express the complement of a set with respect to a larger set?
Tip: When finding the complement of a set, always remember that you're looking for elements in the universal set that aren't part of the specific set you're working with.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Set Complements
Roster Method
Formulas
A' = U - A
Theorems
Complement of a set
Suitable Grade Level
Grades 6-8