Questions: Express the following using interval notation. 0 ≤ x ≤ 23 (0,23) [0,23] [-23,0] (-23,0)

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. \[ 0 \leq x \leq 23 \] $(0,23)$ $[0,23]$ $[-23,0]$ $(-23,0)$
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Solution

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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 \([0, 23]\).

Final Answer

\(\boxed{[0, 23]}\)

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