Questions: Express the following using interval notation.
0 ≤ x ≤ 23
(0,23)
[0,23]
[-23,0]
(-23,0)
Transcript text: Express the following using interval notation.
\[
0 \leq x \leq 23
\]
$(0,23)$
$[0,23]$
$[-23,0]$
$(-23,0)$
Solution
Solution Steps
To express the inequality \(0 \leq x \leq 23\) using interval notation, we need to identify the type of brackets to use. The square brackets \([ \, ]\) indicate that the endpoints are included in the interval, while the parentheses \(( \, )\) indicate that the endpoints are not included. Since the inequality includes both endpoints 0 and 23, we use square brackets.
Step 1: Identify the Type of Interval
The inequality \(0 \leq x \leq 23\) includes both endpoints, 0 and 23. In interval notation, this is represented using square brackets \([ \, ]\) to indicate that the endpoints are included.
Step 2: Write the Interval Notation
Based on the inequality \(0 \leq x \leq 23\), the interval notation is \([0, 23]\).