Describing Elements in Sets Using Words

Therefore 4 is not a set. As we saw in earlier examples we use the union symbol to combine two unconnected intervals.

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Sets A set is a collection of objects.

. You read the rule as Set F consists of all x s such that x is equal to five times n. So for examples 1 through 4 we listed the sets as follows. Here 3 A.

The symbol is read is in or is an element of. Notational conventions to identify them. A rule works well when you find lots and lots of elements in the set.

The symbol Z denotes integers. The union of A and the complement of B and the intersection of the complement of C. The roster method lists all the elements or members in the set whereas a description in words explains what elements are in the set using a sentence.

To combine two intervals using inequality notation or set-builder notation we use the word or. Set A is the union of the intersection of set B prime and set C prime. If x is an element of the set A we write x A.

We can use SET BUILDER notation to describe a set in terms of its properties A fxjx is a. Suppose some sets are defined as follows. - Its Notation is the number of elements of a set U is I U I magnitude so when U has n elements we can write I PU I 2 n Hence for U.

A a b c. Generally sets are named with the capital letters A B C etc. To denote that an element is contained in a set the symbol is used.

C the four seasons of the year. Elements that belong to both set A and set B. If two sets list or describe the exact same elements the sets are equal you can also say theyre identical or equivalent.

Subsets Lets consider two sets A and B shown below. C 1 4 9 16 25 Solution. Curly braces denote a list of elements in a set.

2 4 and 5 and D 24 15 denotes a set of two pairs of numbers. Another is the unit set x which contains exactly one element namely x2 Many of these sets are represented using blackboard bold or bold typeface. Lowercase letters are used to denote elements of sets.

Set-builder notation is a mathematical notation for describing a set by representing its elements or explaining the properties that its members must satisfy. P x. SETS AND SET NOTATION A SET is a collection of items.

B 1 2 3 4 5 Example. For example suppose we wish to describe. But it ends with 25.

X is a letter in the word set theory Solution. And set-builder notation expresses how elements are given membership in the set by specifying the properties that define the collection of objects. The union of set A and the complement of the intersection of set B and set C.

P or ℙ denoting the set of all primes. The given set is in. D fAll whole numbers between 5 and 7 inclusiveg fAll integers bigger than 4 and less than 8g Repetitions in the list or changes in the order of.

C x x N where x 4 Example. Notice the the number 3 isnot an element of the set A. Notice the the number 1 is an element of the set A.

Describe the following set in words. The different symbols used to represent set builder notation are as follows. F 5 10 15 20 25 30 35 40 45.

This is read A A is the set containing the elements 1 2 and 3. Two methods of describing sets are the roster method and set-builder notation. For example C 245 denotes a set of three numbers.

Elements or Sets and Subsets. -From the original set U it has 5 elements. 22 Describing Sets The Language of Sets A set is a collection of objects.

The symbol W denotes the whole number. Write the following set in descriptive form. For example the union of the sets 235 2 3.

The symbol is not an element of. In the above example 2 A. Special sets of numbers include.

The objects are called elements of the set. Similarly an element may appear twice in one set but only the distinct elements need to match. If x is not an element of the set A we write x A.

C is the set of all square numbers less than 26. Consider the set A 1257810 Notation. A coat hat scarf gloves boots P thumb index middle ring little Q 2 4 6 8 X red blue yellow.

Set A consists of all elements x such that x is a natural number and x is less than 200. The symbol is an element of. The items are called the MEMBERS or ELEMENTS of the set.

We use curly braces to enclose elements of a set. A subset of the set Ais a set Bso that each element of Bis also an element of the set A. Common Symbols Used in Set Theory.

We denote this by writing 1 A. The given set contains the square of natural numbers. The elements of a set are enclosed in curly brackets separated by commas.

If an element is not a member of a set then it is denoted using the symbol. Set Builder Notation Symbols. A set is a collection of things usually numbers.

The order of elements in the sets doesnt matter. We denote this by writing 3 A. Elements of set A are not elements of set B.

Every element of set A is also in set B. Every element of A is also in B but B contains more elements. A set is given a name usually an uppercase letter.

- PU set is a set of all the subsets of a set and is called a power set. So we can represent the above set in descriptive form as follows. The items present in a set are called either elements or members of a set.

Symbols save time and space when writing. Lets now write this set in words. The elements of a set are denoted by the small letters a b c etc.

We can list each element or member of a set inside curly brackets like this. A set can be described as a list for example D f567g or with words often in many di erent ways. Each of the objects in the set is an element.

Sample questions Use roster and rule notation to describe the set F which consists of all the positive multiples of 5 that are less than 50. One of these is the empty set denoted or. Elements that belong to set A or set B or both A and B.

Write the following set in descriptive form. Choose the correctly worded description below. P 2 3 5 7 11 13 17.

Write B 1 4 9 16 in set builder notation. The symbol N denotes all natural numbers or all positive integers.

Describing And Defining Sets Video Lessons Examples And Solutions

Describing Sets Explanation Examples

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