Sunday, April 21, 2013

Interval Notation Inequality


Interval notation inequality is a process of writting down the set of numbers. Generally interval notation inequalities is used to describe a limit of span or group of spans of numbers along a axis. However, this notation can be followed to describe any group of numbers. For the reasonable example is considered, the set of numbers that are all the numbers greater than 7. The interval notation inequality for this set, letting x be any number in the group of notation, then we it would be given in the notation as shown below,


X >7

Approaches for interval notation inequality:

This similar set possibly will be described in another type of notation is called interval notation inequality. For the collection of numbers that would be written as,

(7,+`oo` )

The interpret notation will be written as:

The span of numbers which as well as in the group is often imagined as being on a number line, normally the x-axis.The 7 on the left then the set of numbers starts at the real number which is suddenly to the right of 7 on the number line. It means we should imagine a number the tinniest bit greater than 7, and that is where the group of numbers begins from the opening stage.
So that the parenthesis to the left of 7 is called a round bracket or an exclusive bracket. Then, 7 is excluded from the group, but the numbers straightly to the right of 5 are included. Shortly put, the numbers greater than 7 are included. The group of interval notation numbers continues to include values greater than 5 all the way to a value which is infinitely greater than 7. That is, the set of all numbers continuously all the way to positive infinity. That is what the positive infinity symbol on the right means, then Infinity symbols are at all times accompanied by round brackets.


Practice problem for interval notation inequality:

Problem 1:

2 < x < 7

The entire numbers between positive two and positive seven, together with the two and the seven.  2 < x < 7,  x is less than or equal to 7 and greater than or equal to 2" { x | 2 < x < 7} "x is between 2 and 7, inclusive" [2,7]

Problem 2:

5 < x < 9

The entire numbers between positive five and positive nine, as well as the five and the nine.  5 < x < 9 x is less than or equal to nine and greater than or equal to five {x | 5 < x < 9} "x is between 5 and 9, inclusive" [5, 9].


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