Math Problem Statement

Let A = { 1, 2, 3 } and B = { 1, 2 }. What are :

  1. space A union B
  2. space A intersection B
  3. space A minus B
  4. space B minus A
  5. 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