Table of Contents

- 1 Does the set of natural numbers include 0?
- 2 What do you call the operation of two sets denotes the elements that the sets have in common or the overlap of the two sets?
- 3 What is natural numbers their opposites and 0?
- 4 What symbol is used to group a set of elements?
- 5 What are the set symbols?
- 6 What is the size of a set?

## Does the set of natural numbers include 0?

Natural numbers are all positive numbers like 1, 2, 3, 4, and so on. They are the numbers you usually count and they continue till infinity. Whereas, the whole numbers are all natural numbers including 0, for example, 0, 1, 2, 3, 4, and so on.

## What do you call the operation of two sets denotes the elements that the sets have in common or the overlap of the two sets?

Venn Diagram

Venn Diagram Overlapping areas indicate elements common to both sets.

**How do you denote the size of a set?**

Definition 2.4 The cardinality of a set is its size. For a finite set, the cardinality of a set is the number of members it contains. In symbolic notation the size of a set S is written |S|. We will deal with the idea of the cardinality of an infinite set later.

### What is natural numbers their opposites and 0?

integers. are the natural numbers, their opposites, and zero.

### What symbol is used to group a set of elements?

Table of set theory symbols

Symbol | Symbol Name | Meaning / definition |
---|---|---|

{ } | set | a collection of elements |

| | such that | so that |

A⋂B | intersection | objects that belong to set A and set B |

A⋃B | union | objects that belong to set A or set B |

**What is the power set of the set Ø 1 2?**

A power set is set of all subsets, empty set and the original set itself. For example, power set of A = {1, 2} is P(A) = {{}, {1}, {2}, {1, 2}}.

#### What are the set symbols?

Symbol | Meaning | Example |
---|---|---|

{ } | Set: a collection of elements | {1, 2, 3, 4} |

A ∪ B | Union: in A or B (or both) | C ∪ D = {1, 2, 3, 4, 5} |

A ∩ B | Intersection: in both A and B | C ∩ D = {3, 4} |

A ⊆ B | Subset: every element of A is in B. | {3, 4, 5} ⊆ D |

#### What is the size of a set?

The size of a set (also called its cardinality) is the number of elements in the set. For example, the size of the set { 2 , 4 , 6 } \{2, 4, 6 \} {2,4,6} is 3 , 3, 3, while the size of the set E E E of positive even integers is infinity.