Solve the absolute value inequality Express the answer using

Solution

6|x + 9| + 8 > 4

6|x + 9| > 4 - 8

6|x + 9| > -4

|X + 9| > -4/6

|x + 9| > -2/3

Do we even need to solve further?
Lets check
We have an absolute value |x + 9| on the left
On the right, we have a negative number, -4

We know that no matter what |x + 9| > -4 ALWAYS

So, x ---> all real numbers

So, answer :
x = (-inf , inf)