Math Problem Statement
Given n(A) = 1700, n(A ∪ B) = 2250, and n(A ∩ B) = 320, find n(B).
Solution
To find , we can use the formula for the union of two sets and :
Given:
We need to find . Plugging in the values:
Simplify the equation:
Now, solve for :
So, .
Would you like more details or have any questions?
Here are 5 related questions:
- What is the formula for the union of three sets?
- How would you calculate if given , , , and the intersections?
- What does imply about the sets and ?
- How would you find if was unknown but and were given?
- How can Venn diagrams be used to represent these set operations?
Tip: Always double-check your work by substituting your results back into the original equation to ensure accuracy.
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union and Intersection of Sets
Basic Algebra
Formulas
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
Theorems
Principle of Inclusion-Exclusion
Suitable Grade Level
Grades 8-10
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