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 2 free calculationss 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 2 free calculationss remaining
Set Builder Notation for x:
{ x | x<1 } where | denotes such that
Form our interval notation for x:
(-∞,1) U [3,+∞)
Display the literal notation for x
3,4,5,6,7,8,9,10,11,12,13,...,∞
What is the Answer?
[3,+∞)
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