Question

solve (+14)(x-17)(x+6)>0

I have a solution for x>17 but the answer on my paper asks for a solution set {xline x }
help how do I write this

Answer 1

You are correct that x > 17 solves the equation, since both factors are positive

However, if x < -6, both factors are negative, so the equation still holds.

So, the solution set is

{x | x<-6 or x>17}
or, equivalently,
{x | |x-5.5| > 11.5}