1. Absolute Value Inequalities
You can write absolute value inequalities as compound inequalities.
The graphs below show two absolute value inequalities
represents all numbers whose distance from 1 represents all numbers whose distance from 1
is less than 3 units. So -3 < n-1 < 3 is greater than 3 units. So n-1 < -3 or n-1 > 3
If the absolute value inequality has a or If the absolute value inequality has a or
use an “AND” COMPOUND INEQUALITY! use an “OR” COMPOUND INEQUALITY!
Solve the absolute value inequality by turning it into a compound inequality.