Math Problem Statement
Let A = { 1, 2, 3 } and B = { 1, 2 }. What are :
- space A union B
- space A intersection B
- space A minus B
- space B minus A
- space A blank straight capital delta blank B
Solution
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Math Problem Analysis
Mathematical Concepts
Set Theory
Union of Sets
Intersection of Sets
Set Difference
Symmetric Difference
Formulas
A ∪ B = {x | x ∈ A or x ∈ B}
A ∩ B = {x | x ∈ A and x ∈ B}
A - B = {x | x ∈ A and x ∉ B}
B - A = {x | x ∈ B and x ∉ A}
A Δ B = (A - B) ∪ (B - A)
Theorems
Properties of Union and Intersection
Properties of Set Difference
Symmetric Difference Theorem
Suitable Grade Level
Grades 6-8
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