How do you graph and solve # | 3 - 7 x |>17#?
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 rewrite and solve this inequality as:
Now, divide each segment by
Or, in interval notation:
To graph this we will draw a vertical lines at
The lines will be a dashed lines because the inequality operators do not contain an "or equal to" clause.
We will shade outside the two lines to show the interval where the inequality is true.