The distance between x and -25 is at least 18 Use absolute value and inequality notations to describe the following situations. You may use for absolute value sign; <= for ≤ and >= for ≥.e.g. you may use "|| > = 5" for " |x ≥ 5". The distance between x and 24 is no more than 9 I is at least 25 units from 0 11 is at most 24 units from 0 11
The distance between x and -25 is at least 18 Use absolute value and inequality notations to describe the following situations. You may use for absolute value sign; <= for ≤ and >= for ≥.e.g. you may use "|| > = 5" for " |x ≥ 5". The distance between x and 24 is no more than 9 I is at least 25 units from 0 11 is at most 24 units from 0 11
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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![**Transcription for Educational Website:**
### Topic: Using Absolute Value and Inequality Notations
Use absolute value and inequality notations to describe the following situations. You may use " | | " for absolute value sign; `< =` for ≤ and `> =` for ≥. For example, you may use "|x| > = 5" for "|x| ≥ 5".
1. **The distance between x and 24 is no more than 9**
- **Answer:** |x - 24| ≤ 9
2. **The distance between x and -25 is at least 18**
- **Answer:** |x + 25| ≥ 18
3. **x is at least 25 units from 0**
- **Answer:** |x| ≥ 25
4. **x is at most 24 units from 0**
- **Answer:** |x| ≤ 24
Additional resources:
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- **Tools:** [Calculator]
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This exercise helps students practice translating word problems into mathematical expressions using absolute values and inequalities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73703494-0047-446a-8ecd-c730d28d528c%2F765a132d-90f3-4333-88a3-4c1d71b41a23%2Foxd5h8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website:**
### Topic: Using Absolute Value and Inequality Notations
Use absolute value and inequality notations to describe the following situations. You may use " | | " for absolute value sign; `< =` for ≤ and `> =` for ≥. For example, you may use "|x| > = 5" for "|x| ≥ 5".
1. **The distance between x and 24 is no more than 9**
- **Answer:** |x - 24| ≤ 9
2. **The distance between x and -25 is at least 18**
- **Answer:** |x + 25| ≥ 18
3. **x is at least 25 units from 0**
- **Answer:** |x| ≥ 25
4. **x is at most 24 units from 0**
- **Answer:** |x| ≤ 24
Additional resources:
- **Question Help:** [Message instructor]
- **Tools:** [Calculator]
[Submit Question]
This exercise helps students practice translating word problems into mathematical expressions using absolute values and inequalities.
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