Display the interval notation for:
6x≥22
Interval Notation Definition:
An interval as a set of numbers.
Numbers = endpoints.
Build interval notation
We get interval notation by saying 6x≥22
Since our variable of x has a coefficient of 6
Divide each side of the inequality by 6
| 6x | |
| 6 |
| ≥ |
| 22 |
| 6 |
x≥3.6666666666667 ←Use this expression going forward
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 3.6666666666667
Based on the ≥ you entered,
the right side of the interval notation will extend to positive infinity,
which is denoted as +∞
Final Answer
[3.6666666666667,+∞)
Set Builder Notation for x:
{ x | x≥3.6666666666667 } where | denotes such that
Display the literal notation for x
3.6666666666667,4.6666666666667,5.6666666666667,6.6666666666667,7.6666666666667,8.6666666666667,9.6666666666667,10.666666666667,11.666666666667,12.666666666667,13.666666666667,...,∞
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.6.EE.B.8
What is the Answer?
[3.6666666666667,+∞)
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.
* 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
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
