How do you represent a set of numbers?

Special sets

1. ∅ denotes the empty set, the set with no members.
2. N denotes the set of natural numbers; i.e. {1,2,3,…}.
3. Z denotes the set of integers; i.e. {…,−2,−1,0,1,2,…}.
4. Q denotes the set of rational numbers (the set of all possible fractions, including the integers).
5. R denotes the set of real numbers.

What is an example of a set of numbers?

What does it look like?

What does number set mean?

A set of numbers is really just a group of numbers. You can use the number line to deal with four important sets of numbers: Integers: The set of counting numbers, zero, and negative counting numbers. Rational numbers: The set of integers and fractions. Real numbers: The set of rational and irrational numbers.

How do number sets work?

In a finite number of elements in a set, the order is equal to the number of elements in the set. For instance, the set {2, 4, 6, 8} has order 4, because it has four numbers in it. When there are an infinite number of elements in a set, the order of the set is infinite.

What are the methods of representing a set?

Solution:

• The methods of representations of sets are:
• Statement Form: { I is the set of integers that lies between -1 and 5}
• Roster Form: I = { 0,1, 2, 3,4 }
• Set-builder Form: I = { x: x ∈ I, -1 < x < 5 }
• Example 2:
• Solution:
• A = {a, b, c, d} and B = {c, d}
• A U B = {a, b, c, d}

What are the 2 methods of representing a set?

Representation of Set

• A set is denoted by a capital letter. Example : set A, set B, set N etc.
• The elements of a set are denoted by small letters.
• In set notation, elements are not repeated.
• The order of elements in a set does not matter.

What are the characteristics of a set?

The foremost property of a set is that it can have elements, also called members. Two sets are equal when they have the same elements. More precisely, sets A and B are equal if every element of A is a member of B, and every element of B is an element of A; this property is called the extensionality of sets.

What are the two characteristics of a set?

Subsets. If every element of set A is also in B, then A is described as being a subset of B, or contained in B, written A ⊆ B, or B ⊇ A. The latter notation may be read B contains A, B includes A, or B is a superset of A. The relationship between sets established by ⊆ is called inclusion or containment.

What are the characteristics of sets?

Properties of Sets

• The change in order of writing the elements does not make any changes in the set. In other words the order in which the elements of a set are written is not important.
• If one or many elements of a set are repeated, the set remains the same. In other words the elements of a set should be distinct.