Math Problem Statement

with solution

Let U = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} as the universal set, A = {-1, 0, 1} and B = {0, 1, 2}. Find the following: 1. A ∪ B 2. A ∩ B 3. A - B 4. A x B 5. (A ∩ B)'

Solution

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Math Problem Analysis

Mathematical Concepts

Set theory
Union
Intersection
Set difference
Cartesian product
Complement

Formulas

Union: A ∪ B = {x | x ∈ A or x ∈ B}
Intersection: A ∩ B = {x | x ∈ A and x ∈ B}
Set difference: A - B = {x | x ∈ A and x ∉ B}
Cartesian product: A x B = {(a, b) | a ∈ A and b ∈ B}
Complement: (A ∩ B)' = U - (A ∩ B)

Theorems

Basic Set Operations
De Morgan's Laws

Suitable Grade Level

Grades 9-12

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