Display the interval notation for
x<1orx>=3
Interval Notation Definition:
An interval is a set of numbers.
Numbers = endpoints of the interval.
Simplify x<1
Simplify x>=3
Revised interval notation
Therefore, x<1 or x>=3
Display the interval notation for:
x<1orx≥3
Interval Notation Definition:
An interval as a set of numbers.
Numbers = endpoints.
Account for or
Since we have an or statement
We break this up into two pieces
Piece 1 → x<1
Piece 2 → x≥3
Evaluate Piece 1
Inequality Sign Evaluation
You entered the < sign
Build the interval notation for x:
Because you entered an equal sign
Translate to ) since we include the number 1
Based on the < you entered,
the left side of the interval notation will extend to negative infinity,
which is denoted as -∞
Build notation
(-∞,1)
You have 1 free calculations remaining
Set Builder Notation for x:
{ x | x<1 } where | denotes such that
Evaluate Piece 2
Inequality Sign Evaluation
You entered the < sign
Build the interval notation for x:
Because you entered an equal sign
Translate to [ since we include the number 3
Based on the < you entered,
the right side of the interval notation will extend to positive infinity,
which is denoted as +∞
Build notation
[3,+∞)
You have used up your free calculations
What is the Answer?
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 braceNo 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?
domainSet of all possible input values which makes the output value of a function validequalbeing the same in quantity, size, degree, or value=greater thanShows an inequality of one value being more than another
>inequalitya relation which makes a non-equal comparison between two numbers or other mathematical expressions.
>, <, ≤, ≥intervala set of real numbers that contains all real numbers lying between any two numbers of the setinterval notationa method to represent an interval on a number line using subsets of the real numbersinterval notation and set builder notationless thanShows an inequality of one value being less than another
<notationAn expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objectsrangeDifference 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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