Which of the following cases must be considered when solving a one-variable absolute value inequality algebraically?
a. the quantity inside the absolute value is non-negative
b. the quantity inside the absolute value is 0
c. the quantity inside the absolute value is negative
d. both a & c
Option D is the best choice, because we should consider whether or not the value within the absolute value is a negative or positive value (being a 0 doesn't change anything) because we want to know what is the point of using it.
