How do you solve and write the following in interval notation: #2 + | x/3 - 1 | > 6#?
First, subtract two from both sides to get
The absolute value can be split into
Simplifying for the first equation we get the following
For the second equation
So all values less than -9 and greater than 15 satisfy the inequality. This can be written as
Open brackets are used since infinity is not included as a point and 9 and 15 do not satisfy the inequality.