Math Problem Statement

Siano X = R, A = {x ∈ R | x 2 + x − 2 = 0}, B = {1, −1, 2} e C = {1, {2, 3}}. a. Determinare l’insieme delle parti di B e l’insieme delle parti di C. b. Dire quali delle seguenti affermazioni sono vere e quali false:

  1. {1} /⊆ A
  2. {2} ∈ C
  3. 1 ∈ C
  4. {1} ∈ A
  5. 2 ∈ C
  6. 1 ⊆ A
  7. 3 ∈ C
  8. 1 ∈ A
  9. {1} ∈ C
  10. A ⊆ B
  11. {2, 3} ∈ C
  12. B ⊆ A

Solution

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Math Problem Analysis

Mathematical Concepts

Set Theory
Quadratic Equations
Subset Relationships

Formulas

Quadratic equation x^2 + x - 2 = 0

Theorems

Solution of quadratic equations
Power set concept

Suitable Grade Level

Grades 9-12