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: 
- **Question Help:** [Message instructor]
- **Tools:** [Calculator]

[Submit Question] 

This exercise helps students practice translating word problems into mathematical expressions using absolute values and inequalities.
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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