Precalculus : Linear Inequalities
Study concepts, example questions & explanations for Precalculus
All Precalculus Resources
Example Questions
Example Question #1 : Solve Absolute Value Inequalities
Solve the absolute value inequality.
First, simplify so that the absolute value function is by itself on one side of the inequality.
Note that the symbol flipps when you divide both sides by 
Next, the two inequalities that result after removing the absolute value symbols are
When you simplify the two inequalities, you get
Thus, the solution is
Example Question #841 : Pre Calculus
To solve absolute value inequalities, you have to write it two different ways. But first, divide out the 4 on both sides so that there is just the absolute value on the left side. Then, write it normally, as you see it: 
Example Question #842 : Pre Calculus
Solve the following:
To solve absolute value inequalities create two functions.
Simply remember that when solving inequalities with absolute values, you keep one the same and then flip the sign and inequality on the other.
Thus,
Then, you must write it in interval notation.
Thus,
Certified Tutor
All Precalculus Resources
