Intervals in Math
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Questions and Answers

What is the symbol for a closed interval from $a$ to $b$?

  • $(a, b)$
  • $[a, b)$
  • $[a, b]$ (correct)
  • $(a, b]$
  • What is the symbol for an open interval from $a$ to $b$?

  • $[a, b]$
  • $(a, b)$ (correct)
  • $(a, b]$
  • $[a, b)$
  • Which interval would represent $1 \leq x \leq 5$?

  • $(1, 5)$
  • $[1, 5)$
  • $[1, 5]$ (correct)
  • $(1, 5]$
  • What is true about the interval $(a, b)$?

    <p>It excludes both $a$ and $b$.</p> Signup and view all the answers

    If $a = 1$ and $b = 5$, which of the following is a representation of the set notation for a closed interval?

    <p>$ ext{S = \{x | 1 \leq x \leq 5\}}$</p> Signup and view all the answers

    Study Notes

    Interval Notation

    • The symbol for a closed interval from $a$ to $b$ is $[a, b]$.
    • The symbol for an open interval from $a$ to $b$ is $(a, b)$.
    • The interval $[1, 5]$ would represent $1 \leq x \leq 5$.
    • The interval $(a, b)$ is an open interval, meaning it does not include the endpoints $a$ and $b$.
    • The set notation for a closed interval with $a = 1$ and $b = 5$ is ${x | 1 \leq x \leq 5}$.

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    Description

    Learn about different types of intervals in mathematics, including closed and open intervals. Practice identifying and representing intervals with set notation and symbols.

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