 # a5

## Enter inequality for interval notation:

Display the interval notation for a<0ora>5.

## Interval Notation Definition:

An interval as a set of numbers.
Numbers = endpoints.
Simplify a<0
Simplify a>5
Therefore, a<0 or a>5
Display the interval notation for:
a<0ora>5

## Interval Notation Definition:

An interval as a set of numbers.
Numbers = endpoints.
Since we have an or statement
We break this up into two pieces
Piece 1 → a<0
Piece 2 → a>5

## Evaluate Piece 1

You entered the < sign
Start on the right side of a<0

## Build the interval notation for a:

No equal sign translates to ).
Do not include the number 0
The left side extends to -∞  ## Set Builder Notation for a:

{ a | a<0 } where | denotes such that

## Evaluate Piece 2

You entered the < sign
Start on the left side of a>5

## Build the interval notation for a:

No equal sign translates to (.
Do not include the number 5
The right side extends to +∞  ## Set Builder Notation for a:

{ a | a<0 } where | denotes such that

(-∞,0) U (5,+∞)

## Display the literal notation for a

6,7,8,9,10,11,12,13,14,15,...,∞

(5,+∞)

### 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

For more math formulas, check out our Formula Dossier

### 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