Use \( U \) to union two or more intervals. Use \( \infty \) (two lowercase o's) for \(\infty\), and DNE if the set is empty. For those not familiar with interval notation, here's some examples of how inequalities are written in interval notation: | Inequality | Interval Notation | |------------|-------------------| | \( 4 \leq x < 7 \) | \([4,7)\) | | \( x < 2 \) | \((-\infty, 2)\) | | \( x \geq 3 \) | \([3, \infty)\) | | all real numbers | \((-\infty, \infty)\) | | \( x < 2 \text{ or } x > 3 \) | \((-\infty, 2) \cup (3, \infty)\) | **Try it out**: Write the interval of values shown in the line graph below. The graph shows a number line with a closed circle at \(-2\) and an open circle at \(3\), with shading between these points. This represents the interval \([-2, 3)\). **Interval is:** \([-2, 3)\) [Submit Question]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use \( U \) to union two or more intervals.

Use \( \infty \) (two lowercase o's) for \(\infty\), and DNE if the set is empty.

For those not familiar with interval notation, here's some examples of how inequalities are written in interval notation:

| Inequality | Interval Notation |
|------------|-------------------|
| \( 4 \leq x < 7 \) | \([4,7)\) |
| \( x < 2 \) | \((-\infty, 2)\) |
| \( x \geq 3 \) | \([3, \infty)\) |
| all real numbers | \((-\infty, \infty)\) |
| \( x < 2 \text{ or } x > 3 \) | \((-\infty, 2) \cup (3, \infty)\) |

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

The graph shows a number line with a closed circle at \(-2\) and an open circle at \(3\), with shading between these points. This represents the interval \([-2, 3)\).

**Interval is:** \([-2, 3)\)

[Submit Question]
Transcribed Image Text:Use \( U \) to union two or more intervals. Use \( \infty \) (two lowercase o's) for \(\infty\), and DNE if the set is empty. For those not familiar with interval notation, here's some examples of how inequalities are written in interval notation: | Inequality | Interval Notation | |------------|-------------------| | \( 4 \leq x < 7 \) | \([4,7)\) | | \( x < 2 \) | \((-\infty, 2)\) | | \( x \geq 3 \) | \([3, \infty)\) | | all real numbers | \((-\infty, \infty)\) | | \( x < 2 \text{ or } x > 3 \) | \((-\infty, 2) \cup (3, \infty)\) | **Try it out**: Write the interval of values shown in the line graph below. The graph shows a number line with a closed circle at \(-2\) and an open circle at \(3\), with shading between these points. This represents the interval \([-2, 3)\). **Interval is:** \([-2, 3)\) [Submit Question]
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[-1,3)

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