An interval as a set of numbers. Numbers = endpoints.
Build interval notation
We get interval notation by saying 7x≤21
Since our variable of x has a coefficient of 7 Divide each side of the inequality by 7
7x
7
≤
21
7
x≤3 ←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
Based on the ≤ you entered, the left side of the interval notation will extend to negative infinity, which is denoted as -∞
Build notation
(-∞,3]
You have 2 free calculationss remaining
Set Builder Notation for x:
{ x | x≤3 } where | denotes such that
Display the literal notation for x
∞,...,-7,-6,-5,-4,-3,-2,-1,0,1,2,3
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