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5 Questions

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Intervals in Math

Created by

@WellMadeMelodica

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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.