Question

How do you solve `8abs(x+8)+ 9 > 6`?

Answer 1

To solve: `8abs(x+8)+ 9 > 6`

We need to make `8abs(x+8) > 6-9=-3`

But for every possible number `x`, we know that `absx >= 0` so for every possible value of `x`, we have `8abs(x+8)>=0 > -3`

Therefore every real number is a solution. (The solution set is: all real numbers.)