The set of all y such that y is greater than 0. Any Value greater than 0. The set of all y such that y is any number except Any value except The set of all y such that y is any number less than 7. Any value less than 7. The set of all K in Z , such that K is any number greater than 4. All integers greater than 4. There are two different methods to represent sets. These are:. Tabular Form or Roasted Method. Set -Builder Form or Rule Method. If the element appears more than once in the collection, it can be written only once.
Note: The elements of the set in the roasted method can be listed in any order. If the elements of a set have a common property then they can be defined by describing the property.
No other natural numbers retain this property. Hence, we can write the set X as follows:. In this case, the description of the common property of the elements of a set is written inside the braces. This is the simple form of a set - builder form or rule method. If you are thinking why do we use such complicated notation to represent sets?
What is the importance of using such complicated notation? Now, you can find the answer to this question. But the problem may raise if you will be asked to list the real numbers in the same interval in roaster from. Using the set-builder notation would be convenient to use in this situation.
Starting with all the real numbers, we can limit them to the interval between 1 and 6 inclusive. Hence, it will be represented as:. For example,. Describe the intervals of values shown in Figure 4 using inequality notation, set-builder notation, and interval notation.
Remember that, when writing or reading interval notation, using a square bracket means the boundary is included in the set. Using a parenthesis means the boundary is not included in the set. Skip to main content. Domain and Range. Search for:. Use notations to specify domain and range In the previous examples, we used inequalities and lists to describe the domain of functions.
A General Note: Set-Builder Notation and Interval Notation Set-builder notation is a method of specifying a set of elements that satisfy a certain condition. How To: Given a line graph, describe the set of values using interval notation. Identify the intervals to be included in the set by determining where the heavy line overlays the real line.
At the left end of each interval, use [ with each end value to be included in the set solid dot or for each excluded end value open dot. At the right end of each interval, use ] with each end value to be included in the set filled dot or for each excluded end value open dot. Example 5: Describing Sets on the Real-Number Line Describe the intervals of values shown in Figure 4 using inequality notation, set-builder notation, and interval notation.
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