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Questions and Answers
What is the symbol for a closed interval from $a$ to $b$?
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 $b$?
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 $1 \leq x \leq 5$?
Which interval would represent $1 \leq x \leq 5$?
- $(1, 5)$
- $[1, 5)$
- $[1, 5]$ (correct)
- $(1, 5]$
What is true about the interval $(a, b)$?
What is true about the interval $(a, b)$?
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If $a = 1$ and $b = 5$, which of the following is a representation of the set notation for a closed interval?
If $a = 1$ and $b = 5$, which of the following is a representation of the set notation for a closed interval?
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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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