Display the interval notation for:

2≤x≤20

Interval Notation Definition:

An interval as a set of numbers.
Numbers = endpoints.

Start with the left side which is greater than or equal to 2

An equal sign translates to [
Include the number 2

Evaluate the right side which is less than or equal to 20

An equal sign translates to ]
Include the number 20

Build the interval notation for x:


[2,20]


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Display the literal notation for x

2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20

Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.EE.B.8
What is the Answer?
[2,20]
How does the Interval Notation and Set Builder Notation Calculator work?
Free Interval Notation and Set Builder Notation Calculator - This calculator translates the following inequality statements to interval notation and set builder notation:
* x < 5
* y <= 5
* z > 5
* a >= 5
* b < 5 or b > 20
* Compound Inequality such as 0 <= c < 4
* |x|<3
* Reverse Interval Notation to Inequality Statement such as (-7,5]
* {x|x<1}
* Word representations of interval notations such as 2 is less than or equal to x is less than or equal to 8
This calculator has 2 inputs.
What 2 formulas are used for the Interval Notation and Set Builder Notation Calculator?
Equal sign means you use a brace
No equal sign means you use a parentheses
What 10 concepts are covered in the Interval Notation and Set Builder Notation Calculator?
domain
Set of all possible input values which makes the output value of a function valid
equal
being the same in quantity, size, degree, or value
=
greater than
Shows an inequality of one value being more than another
>
inequality
a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
>, <, ≤, ≥
interval
a set of real numbers that contains all real numbers lying between any two numbers of the set
interval notation
a method to represent an interval on a number line using subsets of the real numbers
interval notation and set builder notation
less than
Shows an inequality of one value being less than another
<
notation
An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects
range
Difference between the largest and smallest values in a number set
Example calculations for the Interval Notation and Set Builder Notation Calculator
Interval Notation and Set Builder Notation Calculator Video

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