How do you write an absolute value inequality that represents

smittyboy14vwc3p

smittyboy14vwc3p

Answered question

2022-06-02

How do you write an absolute value inequality that represents all real numbers less than 3 units from 0?

Answer & Explanation

welshire7cve5

welshire7cve5

Beginner2022-06-03Added 1 answers

Step 1
| x | represents the distance away from 0 that a number is. Therefore, if we want to write an inequality representing all numbers that are a distance of less than 3 away from 0, we do it like this:
| x | < 3
If we were to expand this, we would get the following inequality:
- 3 < x < 3
Which makes sense, since both -3 and 3 are a distance of 3 away from 0, and everything in between them is closer to 0.

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