(x+19)(x-7)(x+17)>0=-19<x<-17 or x>7



Can someone please look at this equation and let me know if I did it correctly.

2 answers

If x>7, all factors are positive and the product is positive. So that is OK

If -19<x<-17, two factors are negative and x+19 is positive, so the product is positive. Also OK

There are no other regions where the function is positive. It is a cubic equation with three roots. Between the secoind and third roots, it is negative.
Thank you