Mathematical Methods For Economics | Simple Application 2 | Set Theory |

Mathematical Methods For Economics | Simple Application 1 | Set Theory |

Reference lectures for this lecture:

Set Theory | Part 1 | What are sets how we denote them | Phi, Finite, Infinite Sets | 4 |

Set Theory | Part 2 | Set Operations | Union of Two sets Laws involving the Union of Sets | 5 |

Set Theory | Part 3 | Set Operations | Introduction to intersection and difference of Sets | 6 |

| Set Theory | Part 4 | Subsets and Powerset | 7 |

Set Theory | Part 5 | Introduction to Relations | 8 |

Set Theory | Part 6 | Reflexive and Anti Reflexive Relations | 9 |

Set Theory comprises mathematical objects called Sets, and their operations are called set operations.

Union of a Set
Let A and B be two sets. The union of A and B, denoted by 𝐴∪𝐵, is the set that contains those elements that are either in A or in B, or both. No element is repeated

Intersection of a Set
Let A and B be two sets. The intersection of A and B, denoted by 𝐴∩𝐵, is the set that contains those elements that are in both A and B. No element is repeated .

Difference of a Set
Let A and B be two sets. The difference of A and B denoted by 𝐴–𝐵 is the set of all the elements of A which are not in B .

Complement of a Set
Let A be any set and S be the Universal set. Then, A is a subset of S (𝐴⊂𝑆).The complement of A, denoted by A’ or 𝐴¯ is 𝐴′=𝑆–𝐴=𝐴¯.

In this video we shall apply the definitions and answer the given question.

[ritikachauhan]

sir, won't you be uploading Public economics for the 5th semester?