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Interval notation

from class:

Calculus I

Definition

Interval notation is a mathematical notation used to describe sets of numbers lying within a specific range. It uses brackets and parentheses to denote inclusive and exclusive bounds, respectively.

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5 Must Know Facts For Your Next Test

  1. Square brackets $[a, b]$ indicate that both endpoints $a$ and $b$ are included in the interval.
  2. Parentheses $(a, b)$ indicate that both endpoints $a$ and $b$ are excluded from the interval.
  3. A combination such as $[a, b)$ means that $a$ is included but $b$ is excluded.
  4. $(-\infty, b)$ or $(a, \infty)$ can be used to represent intervals extending infinitely in one direction.
  5. Interval notation can describe the domain and range of functions effectively.

Review Questions

  • What does the interval notation $(3, 7]$ signify?
  • How do you represent all real numbers greater than or equal to 5 using interval notation?
  • Convert the inequality $2 < x \leq 6$ into interval notation.
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