Questions: ENTERING INTERVAL NOTATION ANSWERS Some questions ask you to enter an interval of values. To enter your answer, use interval notation. Use a square bracket if the point is included, parentheses when the point is excluded. Use 00 for ∞ (that's two o's, like the middle of the word "look"), and DNE if the set is empty. For those not familiar with interval notation, here are some examples of how inequalities can be written in interval notation: Inequality Interval Notation 4 ≤ x<7 [4,7) x<2 (-∞, 2) x ≥ 3 [3,00) all real numbers (-∞, 00) Try it out: Write the interval of values shown in the line graph below. Interval is:

ENTERING INTERVAL NOTATION ANSWERS
Some questions ask you to enter an interval of values. To enter your answer, use interval notation.
Use a square bracket if the point is included, parentheses when the point is excluded.
Use 00 for ∞ (that's two o's, like the middle of the word "look"), and DNE if the set is empty.
For those not familiar with interval notation, here are some examples of how inequalities can be written in interval notation:

Inequality  Interval Notation
4 ≤ x<7  [4,7)
x<2  (-∞, 2)
x ≥ 3  [3,00)
all real numbers  (-∞, 00)

Try it out: Write the interval of values shown in the line graph below.

Interval is:
Transcript text: ENTERING INTERVAL NOTATION ANSWERS Some questions ask you to enter an interval of values. To enter your answer, use interval notation. Use a square bracket if the point is included, parentheses when the point is excluded. Use 00 for $\infty$ (that's two o's, like the middle of the word "look"), and DNE if the set is empty. For those not familiar with interval notation, here are some examples of how inequalities can be written in interval notation: \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Inequality } & Interval Notation \\ \hline $4 \leq x<7$ & {$[4,7)$} \\ \hline$x<2$ & $(-\infty, 2)$ \\ \hline \hline$x \geq 3$ & {$[3,00)$} \\ \hline \hline all real numbers & $(-\infty, 00)$ \\ \hline \end{tabular} Try it out: Write the interval of values shown in the line graph below. Interval is: $\square$
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Solution

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Solution Steps

Step 1: Identify the interval on the number line

The number line shows a range of values starting from -5 and ending at 4. The circle at -5 is open, indicating that -5 is not included in the interval. The circle at 4 is closed, indicating that 4 is included in the interval.

Step 2: Determine the interval notation

Since -5 is not included, we use a parenthesis. Since 4 is included, we use a square bracket. Therefore, the interval notation is \((-5, 4]\).

Final Answer

\((-5, 4]\)

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