Interval Notation Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Write x>3x > 3 in interval notation.

Solution

  1. 1
    x>3x > 3 means all real numbers greater than 3.
  2. 2
    3 is not included (strict inequality), so use a parenthesis: (3(3.
  3. 3
    There is no upper bound, so use โˆž)\infty).
  4. 4
    Interval: (3,โˆž)(3, \infty).

Answer

(3,โˆž)(3, \infty)
In interval notation, parentheses (โ€‰)(\,) mean the endpoint is NOT included, and brackets [โ€‰][\,] mean it IS included. Infinity always gets a parenthesis.

About Interval Notation

A shorthand for writing all real numbers in a range, using parentheses for excluded endpoints and square brackets for included endpoints.

Learn more about Interval Notation โ†’

More Interval Notation Examples