6
Interval notation is a method of writing down a set of numbers. An example of this is all numbers that are greater than five.Ê
The real numbers between 1 and 6 form an interval on the number line. This interval is denoted as (1, 6), where the parentheses indicate that the endpoints 1 and 6 are not included. In interval notation, this set can be written as {x | 1 < x < 6}. This set includes all real numbers greater than 1 and less than 6.
interval interval
Numbers greater than 500,000 include any numerical value that is larger than 500,000 on the number line. This encompasses all integers from 500,001 to infinity, as well as any real numbers, fractions, or decimals greater than 500,000. In mathematical notation, this can be represented as {x | x > 500,000}, where x represents any number greater than 500,000.
-4
Interval notation is a method of writing down a set of numbers. An example of this is all numbers that are greater than five.Ê
It is (-3, 5].
(-3, 5] = {x : -3 < x ≤ 5}
Numbers greater than 0.7 are any real numbers that are larger than 0.7 on the number line. This includes decimals such as 0.8, 0.9, 1.0, as well as fractions like 3/4, 7/8, and integers like 1, 2, 3, and so on. In interval notation, the set of numbers greater than 0.7 can be represented as (0.7, ∞), where the parentheses indicate that 0.7 is not included in the set and the infinity symbol represents all numbers greater than 0.7.
Interval notation uses the symbols [ and ( to indicate closed an open intervals. The symbols can be mixed so that an interval can be open on one side and close on the other. Given two real numbers, a, b we can have (a,b) which is the interval notation for all numbers between a and b not including either one. [a,b) all numbers between a and b including a, but not b. (a,b] all numbers between a and b including b, but not a. [a,b] all number between a and b including a and b.
There is more than one notation, but the open interval between a and b is often written (a,b) and the closed interval is written [a,b] where a and b are real numbers. Intervals may be half open or half closed as well such as [a,b) or (a,b]. For all real numbers, it is (-infinity,+infinity), bit use the infinity symbol instead (an 8 on its side).
An interval that remains the same throughout a sequence
The real numbers between 1 and 6 form an interval on the number line. This interval is denoted as (1, 6), where the parentheses indicate that the endpoints 1 and 6 are not included. In interval notation, this set can be written as {x | 1 < x < 6}. This set includes all real numbers greater than 1 and less than 6.
Interval Notation
{x| x ≥ 6} or the interval [6,∞).
Between 3 and 3.1, there are infinitely many numbers, including decimals like 3.01, 3.05, and 3.09. These numbers represent values that are greater than 3 but less than 3.1. The interval can be expressed as (3, 3.1) in mathematical notation, indicating that it includes all real numbers within that range.
Any number greater than -50 would fall to the right of -50 on the number line. This includes all integers from -49 to positive infinity, as well as any decimal or fraction greater than -50. In interval notation, this set of numbers would be represented as (-50, ∞).