Write the statement as an absolute value equation or inequality.

n

is no more than 

2

units from 4




The statement "n is no more than 2 units from 4" can be written as the absolute value inequality:

\[
|n - 4| \leq 2
\]

This inequality means that the distance between \( n \) and 4 is less than or equal to 2 units.

Would you like further details on solving absolute value inequalities, or do you have any questions?

Here are 5 related questions to explore this topic further:
1. How would the inequality change if \( n \) were more than 2 units from 4?
2. What is the solution set for the inequality \( |n - 4| \leq 2 \)?
3. How would you express the inequality \( |n - 4| \geq 2 \)?
4. What does it mean geometrically when the absolute value is involved in inequalities?
5. How would the inequality look if \( n \) were exactly 2 units from 4?

**Tip:** When working with absolute value equations or inequalities, always consider both the positive and negative scenarios (i.e., \( n - 4 \leq 2 \) and \( n - 4 \geq -2 \)).

Write the statement as an absolute value equation or inequality: n is no more than 2 units from 4.

Learn how to write and solve the absolute value inequality |n - 4| ≤ 2, which represents that 'n is no more than 2 units from 4.' This concept involves understanding absolute values, inequalities, and their properties, suitable for students in Grades 8-10.

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