The absolute number of a number a is written as
And represents the distance between a and 0 on a number
An absolute value equation is an equation that contains an
absolute value expression. The equation
Has two solutions x = a and x = -a because both numbers are at
the distance a from 0.
To solve an absolute value equation as
You begin by making it into two separate equations and then
solving them separately.
An absolute value equation has no solution if the absolute value
expression equals a negative number since an absolute value can
never be negative.
Represents the distance between x and 0 that is less than 2
Whereas the inequality
Represents the distance between x and 0 that is greater than
You can write an absolute value inequality as a compound
This holds true for all absolute value inequalities.
You can replace > above with ≥ and < with ≤.
When solving an absolute value inequality it's necessary to
first isolate the absolute value expression on one side of the
inequality before solving the inequality.
Solve the absolute value inequality
Videolesson: Solve the absolute value