How do you graph and solve #|x + 4| <= 6#?
See a solution process below:
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
We can solve the problem using this system of inequalities:
Or, in interval notation:
To graph this we will draw two vertical lines at
The lines will be a solid line because the inequality operators contain an "or equal to" clause.
We will shade between the lines because the interval notation shows a space between the two lines: